Least Common Multiple of 147, 574, 49
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 147, 574, 49 i.e. 12054 smallest integer divisible by all numbers.
Least common multiple (LCM) of 147, 574, 49 is 12054.
LCM(147, 574, 49) = 12054
LCM of 147, 574, 49
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 147, 574, 49 by common division method
- Least Common Multiple of 147, 574, 49 with GCF Formula
Least Common Multiple (LCM) of 147,574,49 is 12054
| 7 | 147, 574, 49 |
| 7 | 21, 82, 7 |
| 3, 82, 1 |
∴ So the LCM of the given numbers is 7 x 7 x 3 x 82 x 1 = 12054
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 147,574,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(147,574,49) = 7
common factors(in case of two or more numbers have common factors) = 49
GCF(147,574,49) x common factors =7 x 49 = 343
LCM(147,574,49) = ( 147 × 574 × 49 ) / 343
LCM(147,574,49) = 4134522 / 343
LCM(147,574,49) = 12054
∴ Least Common Multiple of 147,574,49 is 12054
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Frequently Asked Questions on LCM of 147, 574, 49
1. What is the LCM of 147, 574, 49?
Answer: LCM of 147, 574, 49 is 12054.
2. What are the Factors of 12054?
Answer: Factors of 12054 are . There are integers that are factors of 12054
3. How to Find the LCM of 147, 574, 49 ?
Least Common Multiple of 147, 574, 49.
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(147, 574, 49) = 2 x 3 x 7 x 7 x 41 = 12054.