Least Common Multiple of 78, 91, 574
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 78, 91, 574 i.e. 22386 smallest integer divisible by all numbers.
Least common multiple (LCM) of 78, 91, 574 is 22386.
LCM(78, 91, 574) = 22386
LCM of 78, 91, 574
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 78, 91, 574 by common division method
- Least Common Multiple of 78, 91, 574 with GCF Formula
Least Common Multiple (LCM) of 78,91,574 is 22386
| 2 | 78, 91, 574 |
| 7 | 39, 91, 287 |
| 13 | 39, 13, 41 |
| 3, 1, 41 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 3 x 1 x 41 = 22386
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 78,91,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,91,574) = 1
common factors(in case of two or more numbers have common factors) = 182
GCF(78,91,574) x common factors =1 x 182 = 182
LCM(78,91,574) = ( 78 × 91 × 574 ) / 182
LCM(78,91,574) = 4074252 / 182
LCM(78,91,574) = 22386
∴ Least Common Multiple of 78,91,574 is 22386
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Frequently Asked Questions on LCM of 78, 91, 574
1. What is the LCM of 78, 91, 574?
Answer: LCM of 78, 91, 574 is 22386.
2. What are the Factors of 22386?
Answer: Factors of 22386 are . There are integers that are factors of 22386
3. How to Find the LCM of 78, 91, 574 ?
Least Common Multiple of 78, 91, 574.
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(78, 91, 574) = 2 x 3 x 7 x 13 x 41 = 22386.