LCM for 10 and 900
What's the Least Common Multiple (LCM) of 10 and 900?
(Nine hundred)
Finding LCM for 10 and 900 using GCF's of these numbers
The first method to find LCM for numbers 10 and 900 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 900 is 10, so
LCM = (10 × 900) ÷ 10
LCM = 9000 ÷ 10
LCM = 900
Finding LCM for 10 and 900 by Listing Multiples
The second method to find LCM for numbers 10 and 900 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, 870, 880, 890, 900, 910, 920
Multiples of 900: 900, 1800, 2700, 3600, 4500, 5400, 6300, 7200, 8100, 9000, 9900, 10800, 11700, 12600, 13500, 14400, 15300, 16200, 17100, 18000, 18900, 19800, 20700, 21600, 22500, 23400, 24300, 25200, 26100, 27000, 27900, 28800, 29700, 30600, 31500, 32400, 33300, 34200, 35100, 36000, 36900, 37800, 38700, 39600, 40500, 41400, 42300, 43200, 44100, 45000, 45900, 46800, 47700, 48600, 49500, 50400, 51300, 52200, 53100, 54000, 54900, 55800, 56700, 57600, 58500, 59400, 60300, 61200, 62100, 63000, 63900, 64800, 65700, 66600, 67500, 68400, 69300, 70200, 71100, 72000, 72900, 73800, 74700, 75600, 76500, 77400, 78300, 79200, 80100, 81000, 81900, 82800, [...], 900
So the LCM for 10 and 900 is 900
Finding LCM for 10 and 900 by Prime Factorization
Another method to find LCM for numbers 10 and 900 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 900: 2, 2, 3, 3, 5, 5 (exponent form: 22, 32, 52)
22 × 52 × 32 = 900
Related Calculations
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/10--900">What is the LCM of 10 and 900? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 900 | 900 |
| 2 | 900 | 900 |
| 3 | 900 | 900 |
| 4 | 900 | 900 |
| 5 | 900 | 900 |
| 6 | 900 | 900 |
| 7 | 900 | 6300 |
| 8 | 900 | 1800 |
| 9 | 900 | 900 |
| 10 | 900 | 900 |
| 11 | 900 | 9900 |
| 12 | 900 | 900 |
| 13 | 900 | 11700 |
| 14 | 900 | 6300 |
| 15 | 900 | 900 |
| 16 | 900 | 3600 |
| 17 | 900 | 15300 |
| 18 | 900 | 900 |
| 19 | 900 | 17100 |
| 20 | 900 | 900 |
| 21 | 900 | 6300 |
| 22 | 900 | 9900 |
| 23 | 900 | 20700 |
| 24 | 900 | 1800 |
| 25 | 900 | 900 |
| 26 | 900 | 11700 |
| 27 | 900 | 2700 |
| 28 | 900 | 6300 |
| 29 | 900 | 26100 |
| 30 | 900 | 900 |
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