Least Common Multiple of 540, 7785
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 540, 7785 i.e. 93420 smallest integer divisible by all numbers.
Least common multiple (LCM) of 540, 7785 is 93420.
LCM(540, 7785) = 93420
LCM of 540, 7785
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 540, 7785 by common division method
- Least Common Multiple of 540, 7785 with GCF Formula
Least Common Multiple (LCM) of 540,7785 is 93420
| 3 | 540, 7785 |
| 3 | 180, 2595 |
| 5 | 60, 865 |
| 12, 173 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 12 x 173 = 93420
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 540,7785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,7785) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(540,7785) x common factors =45 x 1 = 45
LCM(540,7785) = ( 540 × 7785 ) / 45
LCM(540,7785) = 4203900 / 45
LCM(540,7785) = 93420
∴ Least Common Multiple of 540,7785 is 93420
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Frequently Asked Questions on LCM of 540, 7785
1. What is the LCM of 540, 7785?
Answer: LCM of 540, 7785 is 93420.
2. What are the Factors of 93420?
Answer: Factors of 93420 are . There are integers that are factors of 93420
3. How to Find the LCM of 540, 7785 ?
Least Common Multiple of 540, 7785.
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(540, 7785) = 2 x 2 x 3 x 3 x 3 x 5 x 173 = 93420.