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 105, 255, 357 i.e. 1785 smallest integer divisible by all numbers.
Least common multiple (LCM) of 105, 255, 357 is 1785.
LCM(105, 255, 357) = 1785
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 105, 255, 357 |
5 | 35, 85, 119 |
7 | 7, 17, 119 |
17 | 1, 17, 17 |
1, 1, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 17 x 1 x 1 x 1 = 1785
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 105,255,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,255,357) = 3
common factors(in case of two or more numbers have common factors) = 1785
GCF(105,255,357) x common factors =3 x 1785 = 5355
LCM(105,255,357) = ( 105 × 255 × 357 ) / 5355
LCM(105,255,357) = 9558675 / 5355
LCM(105,255,357) = 1785
∴ Least Common Multiple of 105,255,357 is 1785
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 255, 357?
Answer: LCM of 105, 255, 357 is 1785.
2. What are the Factors of 1785?
Answer: Factors of 1785 are . There are integers that are factors of 1785
3. How to Find the LCM of 105, 255, 357 ?
Least Common Multiple of 105, 255, 357.
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(105, 255, 357) = 3 x 5 x 7 x 17 = 1785.