Least Common Multiple of 650 and 657
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 650 and 657 the smallest integer that is 427050 that is divisible by both numbers.
Least Common Multiple (LCM) of 650 and 657 is 427050.
LCM(650,657) = 427050
LCM of 650 and 657
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 650 and 657 by Prime method
- Least Common Multiple of 650 and 657 with GCF Formula
LCM of 650 and 657 is 427050
Least common multiple can be found by multiplying the highest exponent prime factors of 650 and 657. First we will calculate the prime factors of 650 and 657.
Prime Factorization of 650
| 2 | 650 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 650 are 2, 5,13. Prime factorization of 650 in exponential form is:
650 = 21×52×131
Prime Factorization of 657
| 3 | 657 |
| 3 | 219 |
| 73 | 73 |
| 1 |
Prime factors of 657 are 3,73. Prime factorization of 657 in exponential form is:
657 = 32×731
Now multiplying the highest exponent prime factors to calculate the LCM of 650 and 657.
LCM(650,657) = 21×32×52×131×731
LCM(650,657) = 427050
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Least Common Multiple of 650 and 657 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 650 and 657, than apply into the LCM equation.
GCF(650,657) = 1
LCM(650,657) = ( 650 × 657) / 1
LCM(650,657) = 427050 / 1
LCM(650,657) = 427050
Properties of LCM 650 and 657
(i) The LCM of 657 and 650 is associative
LCM of 650 and 657 = LCM of 657 and 650
Related Least Common Multiples of 650
Related Least Common Multiples of 657
Frequently Asked Questions on LCM of 650 and 657
1. What is the LCM of 650 and 657?
Answer: LCM of 650 and 657 is 427050.
2. What are the Factors of 650?
Answer: Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. There are 12 integers that are factors of 650. The greatest factor of 650 is 650.
3. What are the Factors of 657?
Answer: Factors of 657 are 1, 3, 9, 73, 219, 657. There are 6 integers that are factors of 657. The greatest factor of 657 is 657.
4. How to Find the LCM of 650 and 657?
Answer:
Least Common Multiple of 650 and 657 = 427050
Step 1: Find the prime factorization of 650
650 = 2 x 5 x 5 x 13
Step 2: Find the prime factorization of 657
657 = 3 x 3 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 427050 = 2 x 3 x 3 x 5 x 5 x 13 x 73
Step 4: Therefore, the least common multiple of 650 and 657 is 427050.