LCM for 60 and 400
What's the Least Common Multiple (LCM) of 60 and 400?
(One thousand, two hundred)
Finding LCM for 60 and 400 using GCF's of these numbers
The first method to find LCM for numbers 60 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 60 and 400 is 20, so
LCM = (60 × 400) ÷ 20
LCM = 24000 ÷ 20
LCM = 1200
Finding LCM for 60 and 400 by Listing Multiples
The second method to find LCM for numbers 60 and 400 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320
Multiples of 400: 400, 800, 1200, 1600, 2000
So the LCM for 60 and 400 is 1200
Finding LCM for 60 and 400 by Prime Factorization
Another method to find LCM for numbers 60 and 400 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)
All Prime Factors of 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)
24 × 31 × 52 = 1200
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/60--400">What is the LCM of 60 and 400? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 45 | 400 | 3600 |
| 46 | 400 | 9200 |
| 47 | 400 | 18800 |
| 48 | 400 | 1200 |
| 49 | 400 | 19600 |
| 50 | 400 | 400 |
| 51 | 400 | 20400 |
| 52 | 400 | 5200 |
| 53 | 400 | 21200 |
| 54 | 400 | 10800 |
| 55 | 400 | 4400 |
| 56 | 400 | 2800 |
| 57 | 400 | 22800 |
| 58 | 400 | 11600 |
| 59 | 400 | 23600 |
| 60 | 400 | 1200 |
| 61 | 400 | 24400 |
| 62 | 400 | 12400 |
| 63 | 400 | 25200 |
| 64 | 400 | 1600 |
| 65 | 400 | 5200 |
| 66 | 400 | 13200 |
| 67 | 400 | 26800 |
| 68 | 400 | 6800 |
| 69 | 400 | 27600 |
| 70 | 400 | 2800 |
| 71 | 400 | 28400 |
| 72 | 400 | 3600 |
| 73 | 400 | 29200 |
| 74 | 400 | 14800 |
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