Least Common Multiple of 30, 77, 174

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 30, 77, 174 i.e. 66990 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 77, 174 is 66990.

LCM(30, 77, 174) = 66990

LCM of 30, 77, 174

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

LCM of:

Least Common Multiple of 30,77,174

Least Common Multiple (LCM) of 30,77,174 is 66990

2 30, 77, 174
3 15, 77, 87
5, 77, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 77 x 29 = 66990

Least Common Multiple of 30,77,174 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 30,77,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,77,174) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,77,174) x common factors =1 x 6 = 6

LCM(30,77,174) = ( 30 × 77 × 174 ) / 6

LCM(30,77,174) = 401940 / 6

LCM(30,77,174) = 66990

∴ Least Common Multiple of 30,77,174 is 66990

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 30, 77, 174

1. What is the LCM of 30, 77, 174?

Answer: LCM of 30, 77, 174 is 66990.

2. What are the Factors of 66990?

Answer: Factors of 66990 are . There are integers that are factors of 66990

3. How to Find the LCM of 30, 77, 174 ?

Least Common Multiple of 30, 77, 174.

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(30, 77, 174) = 2 x 3 x 5 x 7 x 11 x 29 = 66990.