LCM for 8 and 400
What's the Least Common Multiple (LCM) of 8 and 400?
(Four hundred)
Finding LCM for 8 and 400 using GCF's of these numbers
The first method to find LCM for numbers 8 and 400 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 8 and 400 is 8, so
LCM = (8 × 400) ÷ 8
LCM = 3200 ÷ 8
LCM = 400
Finding LCM for 8 and 400 by Listing Multiples
The second method to find LCM for numbers 8 and 400 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416
Multiples of 400: 400, 800, 1200, 1600, 2000, 2400, 2800, 3200, 3600, 4000, 4400, 4800, 5200, 5600, 6000, 6400, 6800, 7200, 7600, 8000, 8400, 8800, 9200, 9600, 10000, 10400, 10800, 11200, 11600, 12000, 12400, 12800, 13200, 13600, 14000, 14400, 14800, 15200, 15600, 16000, 16400, 16800, 17200, 17600, 18000, 18400, 18800, 19200, 19600, 20000, 20400, 20800, [...], 400
So the LCM for 8 and 400 is 400
Finding LCM for 8 and 400 by Prime Factorization
Another method to find LCM for numbers 8 and 400 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 8: 2, 2, 2 (exponent form: 23)
All Prime Factors of 400: 2, 2, 2, 2, 5, 5 (exponent form: 24, 52)
24 × 52 = 400
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/8--400">What is the LCM of 8 and 400? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 400 | 400 |
| 2 | 400 | 400 |
| 3 | 400 | 1200 |
| 4 | 400 | 400 |
| 5 | 400 | 400 |
| 6 | 400 | 1200 |
| 7 | 400 | 2800 |
| 8 | 400 | 400 |
| 9 | 400 | 3600 |
| 10 | 400 | 400 |
| 11 | 400 | 4400 |
| 12 | 400 | 1200 |
| 13 | 400 | 5200 |
| 14 | 400 | 2800 |
| 15 | 400 | 1200 |
| 16 | 400 | 400 |
| 17 | 400 | 6800 |
| 18 | 400 | 3600 |
| 19 | 400 | 7600 |
| 20 | 400 | 400 |
| 21 | 400 | 8400 |
| 22 | 400 | 4400 |
| 23 | 400 | 9200 |
| 24 | 400 | 1200 |
| 25 | 400 | 400 |
| 26 | 400 | 5200 |
| 27 | 400 | 10800 |
| 28 | 400 | 2800 |
| 29 | 400 | 11600 |
| 30 | 400 | 1200 |
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