Least Common Multiple of 73, 76, 34, 304

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 73, 76, 34, 304 i.e. 377264 smallest integer divisible by all numbers.

Least common multiple (LCM) of 73, 76, 34, 304 is 377264.

LCM(73, 76, 34, 304) = 377264

LCM of 73, 76, 34, 304

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

LCM of:

Least Common Multiple of 73,76,34,304

Least Common Multiple (LCM) of 73,76,34,304 is 377264

2 73, 76, 34, 304
2 73, 38, 17, 152
19 73, 19, 17, 76
73, 1, 17, 4

∴ So the LCM of the given numbers is 2 x 2 x 19 x 73 x 1 x 17 x 4 = 377264

Least Common Multiple of 73,76,34,304 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 73,76,34,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,76,34,304) = 1

common factors(in case of two or more numbers have common factors) = 152

GCF(73,76,34,304) x common factors =1 x 152 = 152

LCM(73,76,34,304) = ( 73 × 76 × 34 × 304 ) / 152

LCM(73,76,34,304) = 57344128 / 152

LCM(73,76,34,304) = 377264

∴ Least Common Multiple of 73,76,34,304 is 377264

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 73, 76, 34, 304

1. What is the LCM of 73, 76, 34, 304?

Answer: LCM of 73, 76, 34, 304 is 377264.

2. What are the Factors of 377264?

Answer: Factors of 377264 are . There are integers that are factors of 377264

3. How to Find the LCM of 73, 76, 34, 304 ?

Least Common Multiple of 73, 76, 34, 304.

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(73, 76, 34, 304) = 2 x 2 x 2 x 2 x 17 x 19 x 73 = 377264.