Least Common Multiple of 140 and 147
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 140 and 147 the smallest integer that is 2940 that is divisible by both numbers.
Least Common Multiple (LCM) of 140 and 147 is 2940.
LCM(140,147) = 2940
LCM of 140 and 147
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 140 and 147 by Prime method
- Least Common Multiple of 140 and 147 with GCF Formula
LCM of 140 and 147 is 2940
Least common multiple can be found by multiplying the highest exponent prime factors of 140 and 147. First we will calculate the prime factors of 140 and 147.
Prime Factorization of 140
| 2 | 140 |
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 140 are 2, 5,7. Prime factorization of 140 in exponential form is:
140 = 22×51×71
Prime Factorization of 147
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 147 are 3,7. Prime factorization of 147 in exponential form is:
147 = 31×72
Now multiplying the highest exponent prime factors to calculate the LCM of 140 and 147.
LCM(140,147) = 22×31×51×72
LCM(140,147) = 2940
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Least Common Multiple of 140 and 147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 140 and 147, than apply into the LCM equation.
GCF(140,147) = 7
LCM(140,147) = ( 140 × 147) / 7
LCM(140,147) = 20580 / 7
LCM(140,147) = 2940
Properties of LCM 140 and 147
(i) The LCM of 147 and 140 is associative
LCM of 140 and 147 = LCM of 147 and 140
Related Least Common Multiples of 140
Related Least Common Multiples of 147
Frequently Asked Questions on LCM of 140 and 147
1. What is the LCM of 140 and 147?
Answer: LCM of 140 and 147 is 2940.
2. What are the Factors of 140?
Answer: Factors of 140 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. There are 12 integers that are factors of 140. The greatest factor of 140 is 140.
3. What are the Factors of 147?
Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.
4. How to Find the LCM of 140 and 147?
Answer:
Least Common Multiple of 140 and 147 = 2940
Step 1: Find the prime factorization of 140
140 = 2 x 2 x 5 x 7
Step 2: Find the prime factorization of 147
147 = 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2940 = 2 x 2 x 3 x 5 x 7 x 7
Step 4: Therefore, the least common multiple of 140 and 147 is 2940.