LCM for 10 and 840
What's the Least Common Multiple (LCM) of 10 and 840?
(Eight hundred forty)
Finding LCM for 10 and 840 using GCF's 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 nubmers and pick the first which matching:
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, 3360, 4200, 5040, 5880, 6720, 7560, 8400, 9240, 10080, 10920, 11760, 12600, 13440, 14280, 15120, 15960, 16800, 17640, 18480, 19320, 20160, 21000, 21840, 22680, 23520, 24360, 25200, 26040, 26880, 27720, 28560, 29400, 30240, 31080, 31920, 32760, 33600, 34440, 35280, 36120, 36960, 37800, 38640, 39480, 40320, 41160, 42000, 42840, 43680, 44520, 45360, 46200, 47040, 47880, 48720, 49560, 50400, 51240, 52080, 52920, 53760, 54600, 55440, 56280, 57120, 57960, 58800, 59640, 60480, 61320, 62160, 63000, 63840, 64680, 65520, 66360, 67200, 68040, 68880, 69720, 70560, 71400, 72240, [...], 840
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
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
1 | 840 | 840 |
2 | 840 | 840 |
3 | 840 | 840 |
4 | 840 | 840 |
5 | 840 | 840 |
6 | 840 | 840 |
7 | 840 | 840 |
8 | 840 | 840 |
9 | 840 | 2520 |
10 | 840 | 840 |
11 | 840 | 9240 |
12 | 840 | 840 |
13 | 840 | 10920 |
14 | 840 | 840 |
15 | 840 | 840 |
16 | 840 | 1680 |
17 | 840 | 14280 |
18 | 840 | 2520 |
19 | 840 | 15960 |
20 | 840 | 840 |
21 | 840 | 840 |
22 | 840 | 9240 |
23 | 840 | 19320 |
24 | 840 | 840 |
25 | 840 | 4200 |
26 | 840 | 10920 |
27 | 840 | 7560 |
28 | 840 | 840 |
29 | 840 | 24360 |
30 | 840 | 840 |
About "Least Common Multiple" Calculator
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