Least Common Multiple of 59, 99, 35, 945

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 59, 99, 35, 945 i.e. 613305 smallest integer divisible by all numbers.

Least common multiple (LCM) of 59, 99, 35, 945 is 613305.

LCM(59, 99, 35, 945) = 613305

LCM of 59, 99, 35, 945

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 59,99,35,945

Least Common Multiple (LCM) of 59,99,35,945 is 613305

3 59, 99, 35, 945
3 59, 33, 35, 315
5 59, 11, 35, 105
7 59, 11, 7, 21
59, 11, 1, 3

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 59 x 11 x 1 x 3 = 613305

Least Common Multiple of 59,99,35,945 with GCF Formula

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 59,99,35,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,99,35,945) = 1

common factors(in case of two or more numbers have common factors) = 315

GCF(59,99,35,945) x common factors =1 x 315 = 315

LCM(59,99,35,945) = ( 59 × 99 × 35 × 945 ) / 315

LCM(59,99,35,945) = 193191075 / 315

LCM(59,99,35,945) = 613305

∴ Least Common Multiple of 59,99,35,945 is 613305

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 59, 99, 35, 945

1. What is the LCM of 59, 99, 35, 945?

Answer: LCM of 59, 99, 35, 945 is 613305.

2. What are the Factors of 613305?

Answer: Factors of 613305 are . There are integers that are factors of 613305

3. How to Find the LCM of 59, 99, 35, 945 ?

Least Common Multiple of 59, 99, 35, 945.

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(59, 99, 35, 945) = 3 x 3 x 3 x 5 x 7 x 11 x 59 = 613305.