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 55, 70, 506 i.e. 17710 smallest integer divisible by all numbers.
Least common multiple (LCM) of 55, 70, 506 is 17710.
LCM(55, 70, 506) = 17710
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 55, 70, 506 |
5 | 55, 35, 253 |
11 | 11, 7, 253 |
1, 7, 23 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 7 x 23 = 17710
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 55,70,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,70,506) = 1
common factors(in case of two or more numbers have common factors) = 110
GCF(55,70,506) x common factors =1 x 110 = 110
LCM(55,70,506) = ( 55 × 70 × 506 ) / 110
LCM(55,70,506) = 1948100 / 110
LCM(55,70,506) = 17710
∴ Least Common Multiple of 55,70,506 is 17710
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 55, 70, 506?
Answer: LCM of 55, 70, 506 is 17710.
2. What are the Factors of 17710?
Answer: Factors of 17710 are . There are integers that are factors of 17710
3. How to Find the LCM of 55, 70, 506 ?
Least Common Multiple of 55, 70, 506.
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(55, 70, 506) = 2 x 5 x 7 x 11 x 23 = 17710.