LCM for 20 and 490

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 20 and 490?

Answer

LCM of 20 and 490 is 980

(Nine hundred eighty)

Finding LCM for 20 and 490 using GCF of these numbers

The first method to find LCM for numbers 20 and 490 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 20 and 490 is 10, so

LCM = (20 × 490) ÷ 10

LCM = 9800 ÷ 10

LCM = 980

Finding LCM for 20 and 490 by Listing Multiples

The second method to find LCM for numbers 20 and 490 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1020

Multiples of 490: 490, 980, 1470, 1960

So the LCM for 20 and 490 is 980

Finding LCM for 20 and 490 by Prime Factorization

Another method to find LCM for numbers 20 and 490 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 20: 2, 2, 5 (exponent form: 22, 51)

All Prime Factors of 490: 2, 5, 7, 7 (exponent form: 21, 51, 72)

22 × 51 × 72 = 980

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 20 and 490? (The answer is: 980). Select the first number (e.g. '20') and the second number (e.g. '490'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
5490490
64901470
7490490
84901960
94904410
10490490
114905390
124902940
134906370
14490490
154901470
164903920
174908330
184904410
194909310
20490980
214901470
224905390
2349011270
244905880
254902450
264906370
2749013230
28490980
2949014210
304901470
3149015190
324907840
3349016170
344908330

FAQ

What's the Least Common Multiple (LCM) of 20 and 490?

LCM of 20 and 490 is 980

How to find the LCM of 20 and 490 using prime factorization?

To find the LCM of 20 and 490, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 980.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 20 and 490: LCM = 980, GCF = 10.

See Also