LCM for 48 and 344
What's the Least Common Multiple (LCM) of 48 and 344?
(Two thousand, sixty-four)
Finding LCM for 48 and 344 using GCF's of these numbers
The first method to find LCM for numbers 48 and 344 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 48 and 344 is 8, so
LCM = (48 × 344) ÷ 8
LCM = 16512 ÷ 8
LCM = 2064
Finding LCM for 48 and 344 by Listing Multiples
The second method to find LCM for numbers 48 and 344 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872, 1920, 1968, 2016, 2064, 2112, 2160
Multiples of 344: 344, 688, 1032, 1376, 1720, 2064, 2408, 2752
So the LCM for 48 and 344 is 2064
Finding LCM for 48 and 344 by Prime Factorization
Another method to find LCM for numbers 48 and 344 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)
All Prime Factors of 344: 2, 2, 2, 43 (exponent form: 23, 431)
24 × 31 × 431 = 2064
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/48--344">What is the LCM of 48 and 344? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 33 | 344 | 11352 |
| 34 | 344 | 5848 |
| 35 | 344 | 12040 |
| 36 | 344 | 3096 |
| 37 | 344 | 12728 |
| 38 | 344 | 6536 |
| 39 | 344 | 13416 |
| 40 | 344 | 1720 |
| 41 | 344 | 14104 |
| 42 | 344 | 7224 |
| 43 | 344 | 344 |
| 44 | 344 | 3784 |
| 45 | 344 | 15480 |
| 46 | 344 | 7912 |
| 47 | 344 | 16168 |
| 48 | 344 | 2064 |
| 49 | 344 | 16856 |
| 50 | 344 | 8600 |
| 51 | 344 | 17544 |
| 52 | 344 | 4472 |
| 53 | 344 | 18232 |
| 54 | 344 | 9288 |
| 55 | 344 | 18920 |
| 56 | 344 | 2408 |
| 57 | 344 | 19608 |
| 58 | 344 | 9976 |
| 59 | 344 | 20296 |
| 60 | 344 | 5160 |
| 61 | 344 | 20984 |
| 62 | 344 | 10664 |
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