LCM for 40 and 900
What's the Least Common Multiple (LCM) of 40 and 900?
(One thousand, eight hundred)
Finding LCM for 40 and 900 using GCF's of these numbers
The first method to find LCM for numbers 40 and 900 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 40 and 900 is 20, so
LCM = (40 × 900) ÷ 20
LCM = 36000 ÷ 20
LCM = 1800
Finding LCM for 40 and 900 by Listing Multiples
The second method to find LCM for numbers 40 and 900 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200, 1240, 1280, 1320, 1360, 1400, 1440, 1480, 1520, 1560, 1600, 1640, 1680, 1720, 1760, 1800, 1840, 1880
Multiples of 900: 900, 1800, 2700, 3600
So the LCM for 40 and 900 is 1800
Finding LCM for 40 and 900 by Prime Factorization
Another method to find LCM for numbers 40 and 900 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)
All Prime Factors of 900: 2, 2, 3, 3, 5, 5 (exponent form: 22, 32, 52)
23 × 52 × 32 = 1800
Related Calculations
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/40--900">What is the LCM of 40 and 900? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 25 | 900 | 900 |
| 26 | 900 | 11700 |
| 27 | 900 | 2700 |
| 28 | 900 | 6300 |
| 29 | 900 | 26100 |
| 30 | 900 | 900 |
| 31 | 900 | 27900 |
| 32 | 900 | 7200 |
| 33 | 900 | 9900 |
| 34 | 900 | 15300 |
| 35 | 900 | 6300 |
| 36 | 900 | 900 |
| 37 | 900 | 33300 |
| 38 | 900 | 17100 |
| 39 | 900 | 11700 |
| 40 | 900 | 1800 |
| 41 | 900 | 36900 |
| 42 | 900 | 6300 |
| 43 | 900 | 38700 |
| 44 | 900 | 9900 |
| 45 | 900 | 900 |
| 46 | 900 | 20700 |
| 47 | 900 | 42300 |
| 48 | 900 | 3600 |
| 49 | 900 | 44100 |
| 50 | 900 | 900 |
| 51 | 900 | 15300 |
| 52 | 900 | 11700 |
| 53 | 900 | 47700 |
| 54 | 900 | 2700 |
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