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LCM for 10 and 840

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 840?

Answer

LCM of 10 and 840 is 840

(Eight hundred forty)

Finding LCM for 10 and 840 using GCF of these numbers

The first method to find LCM for numbers 10 and 840 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 840 is 10, so

LCM = (10 × 840) ÷ 10

LCM = 8400 ÷ 10

LCM = 840

Finding LCM for 10 and 840 by Listing Multiples

The second method to find LCM for numbers 10 and 840 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650, 660, 670, 680, 690, 700, 710, 720, 730, 740, 750, 760, 770, 780, 790, 800, 810, 820, 830, 840, 850, 860

Multiples of 840: 840, 1680, 2520

So the LCM for 10 and 840 is 840

Finding LCM for 10 and 840 by Prime Factorization

Another method to find LCM for numbers 10 and 840 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

All Prime Factors of 840: 2, 2, 2, 3, 5, 7 (exponent form: 23, 31, 51, 71)

23 × 51 × 31 × 71 = 840

See Also

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What is the LCM of 10 and 840?. Find the LCM of 10 and 840 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
1840840
2840840
3840840
4840840
5840840
6840840
7840840
8840840
98402520
10840840
118409240
12840840
1384010920
14840840
15840840
168401680
1784014280
188402520
1984015960
20840840
21840840
228409240
2384019320
24840840
258404200
2684010920
278407560
28840840
2984024360
30840840

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 10 and 840? (The answer is: 840). Select the first number (e.g. '10') and the second number (e.g. '840'). 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

FAQ

What's the Least Common Multiple (LCM) of 10 and 840?

LCM of 10 and 840 is 840

How to find the LCM of 10 and 840 using prime factorization?

To find the LCM of 10 and 840, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 10 and 840: LCM = 840, GCF = 10.