Least Common Multiple of 756, 945
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 756, 945 i.e. 3780 smallest integer divisible by all numbers.
Least common multiple (LCM) of 756, 945 is 3780.
LCM(756, 945) = 3780
LCM of 756, 945
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 756, 945 by common division method
- Least Common Multiple of 756, 945 with GCF Formula
Least Common Multiple (LCM) of 756,945 is 3780
| 3 | 756, 945 |
| 3 | 252, 315 |
| 3 | 84, 105 |
| 7 | 28, 35 |
| 4, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 4 x 5 = 3780
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 756,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,945) = 189
common factors(in case of two or more numbers have common factors) = 1
GCF(756,945) x common factors =189 x 1 = 189
LCM(756,945) = ( 756 × 945 ) / 189
LCM(756,945) = 714420 / 189
LCM(756,945) = 3780
∴ Least Common Multiple of 756,945 is 3780
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 756, 945
1. What is the LCM of 756, 945?
Answer: LCM of 756, 945 is 3780.
2. What are the Factors of 3780?
Answer: Factors of 3780 are . There are integers that are factors of 3780
3. How to Find the LCM of 756, 945 ?
Least Common Multiple of 756, 945.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(756, 945) = 2 x 2 x 3 x 3 x 3 x 5 x 7 = 3780.