Find Least Common Multiple of 260, 284, 320 and 364 using division method..

Answer

LCM( 260, 284, 320, 364 ) = 2067520

Explanation

Step 1 : Write the given numbers in a horizontal line.

260

284

320

364

Step 2 : Divide the given numbers by smallest prime number. In this example we can divide by 2.

(if any number is not divisible by 2, write it down unchanged)

2	260	284	320	364
	130	142	160	182

Step 3 : Continue dividing by prime numbers till we get 1 in all columns.

2	260	284	320	364
2	130	142	160	182
2	65	71	80	91
2	65	71	40	91
2	65	71	20	91
2	65	71	10	91
5	65	71	5	91
7	13	71	1	91
13	13	71	1	13
71	1	71	1	1
	1	1	1	1

Step 4 : Multiply numbers in first column to get LCM.

LCM( 260, 284, 320, 364 ) = 2 · 2 · 2 · 2 · 2 · 2 · 5 · 7 · 13 · 71 = 2067520 .

This page was created using

LCM Calculator

About the Author

Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

If you want to contact me, probably have some questions, write me using the contact form or email me on [email protected].

Send Me A Comment

Main Navigation

Online Math Calculators

2	260	284	320	364
2	130	142	160	182
2	65	71	80	91
2	65	71	40	91
2	65	71	20	91
2	65	71	10	91
5	65	71	5	91
7	13	71	1	91
13	13	71	1	13
71	1	71	1	1
	1	1	1	1

2	260	284	320	364
2	130	142	160	182
2	65	71	80	91
2	65	71	40	91
2	65	71	20	91
2	65	71	10	91
5	65	71	5	91
7	13	71	1	91
13	13	71	1	13
71	1	71	1	1
	1	1	1	1

2	260	284	320	364
2	130	142	160	182
2	65	71	80	91
2	65	71	40	91
2	65	71	20	91
2	65	71	10	91
5	65	71	5	91
7	13	71	1	91
13	13	71	1	13
71	1	71	1	1
	1	1	1	1