LCM for 30 and 140
What's the Least Common Multiple (LCM) of 30 and 140?
(Four hundred twenty)
Finding LCM for 30 and 140 using GCF's of these numbers
The first method to find LCM for numbers 30 and 140 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 30 and 140 is 10, so
LCM = (30 × 140) ÷ 10
LCM = 4200 ÷ 10
LCM = 420
Finding LCM for 30 and 140 by Listing Multiples
The second method to find LCM for numbers 30 and 140 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480
Multiples of 140: 140, 280, 420, 560, 700
So the LCM for 30 and 140 is 420
Finding LCM for 30 and 140 by Prime Factorization
Another method to find LCM for numbers 30 and 140 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
All Prime Factors of 140: 2, 2, 5, 7 (exponent form: 22, 51, 71)
22 × 31 × 51 × 71 = 420
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/30--140">What is the LCM of 30 and 140? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 15 | 140 | 420 |
| 16 | 140 | 560 |
| 17 | 140 | 2380 |
| 18 | 140 | 1260 |
| 19 | 140 | 2660 |
| 20 | 140 | 140 |
| 21 | 140 | 420 |
| 22 | 140 | 1540 |
| 23 | 140 | 3220 |
| 24 | 140 | 840 |
| 25 | 140 | 700 |
| 26 | 140 | 1820 |
| 27 | 140 | 3780 |
| 28 | 140 | 140 |
| 29 | 140 | 4060 |
| 30 | 140 | 420 |
| 31 | 140 | 4340 |
| 32 | 140 | 1120 |
| 33 | 140 | 4620 |
| 34 | 140 | 2380 |
| 35 | 140 | 140 |
| 36 | 140 | 1260 |
| 37 | 140 | 5180 |
| 38 | 140 | 2660 |
| 39 | 140 | 5460 |
| 40 | 140 | 280 |
| 41 | 140 | 5740 |
| 42 | 140 | 420 |
| 43 | 140 | 6020 |
| 44 | 140 | 1540 |
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