Least Common Multiple of 74, 55, 30, 770

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 74, 55, 30, 770 i.e. 85470 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 55, 30, 770 is 85470.

LCM(74, 55, 30, 770) = 85470

LCM of 74, 55, 30, 770

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

LCM of:

Least Common Multiple of 74,55,30,770

Least Common Multiple (LCM) of 74,55,30,770 is 85470

2 74, 55, 30, 770
5 37, 55, 15, 385
11 37, 11, 3, 77
37, 1, 3, 7

∴ So the LCM of the given numbers is 2 x 5 x 11 x 37 x 1 x 3 x 7 = 85470

Least Common Multiple of 74,55,30,770 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 74,55,30,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,55,30,770) = 1

common factors(in case of two or more numbers have common factors) = 1100

GCF(74,55,30,770) x common factors =1 x 1100 = 1100

LCM(74,55,30,770) = ( 74 × 55 × 30 × 770 ) / 1100

LCM(74,55,30,770) = 94017000 / 1100

LCM(74,55,30,770) = 85470

∴ Least Common Multiple of 74,55,30,770 is 85470

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 74, 55, 30, 770

1. What is the LCM of 74, 55, 30, 770?

Answer: LCM of 74, 55, 30, 770 is 85470.

2. What are the Factors of 85470?

Answer: Factors of 85470 are . There are integers that are factors of 85470

3. How to Find the LCM of 74, 55, 30, 770 ?

Least Common Multiple of 74, 55, 30, 770.

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(74, 55, 30, 770) = 2 x 3 x 5 x 7 x 11 x 37 = 85470.