Least Common Multiple of 134/152, 387/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 134/152, 387/304 quickly i.e. 51858/152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 134/152, 387/304 is 51858/152.

LCM(134/152, 387/304) = 51858/152

LCM of 134/152, 387/304

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 134/152,387/304

Given numbers are 134/152,387/304

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 134,387

Least Common Multiple of Numerators i.e. LCM of 134,387 is 51858.

GCF of Denominators means GCF of 152,304 as per the given fractions.

GCF of 152,304 is 152 as it is the largest common factor for these numbers.

Lets's calculate LCM of 134,387

LCM of Fractions 134/152,387/304 is 51858/152

Given numbers has no common factors except 1. So, there LCM is their product i.e 51858

Least Common Multiple of 134,387 with GCF Formula

Least Common Multiple of 134,387 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 134,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,387) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(134,387) x common factors =1 x 1 = 1

LCM(134,387) = ( 134 × 387 ) / 1

LCM(134,387) = 51858 / 1

LCM(134,387) = 51858


Lets's calculate GCF of 152,304

2 152, 304
2 76, 152
2 38, 76
19 19, 38
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 19 = 152

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51858/152

Therefore the LCM of Fractions 134/152,387/304 is 51858/152

Greatest Common Factor of 152,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,304 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 152,304 . The biggest common factor number is the GCF number.
So the greatest common factor 152,304 is 152.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 134/152, 387/304

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 134/152, 387/304?

Answer: LCM of Numerators as per given numbers 134/152, 387/304 is

LCM of Numerators i.e. for 134,387 is 51858

GCF of denominators i.e. for 152,304 is 152.

Thus, LCM of Fractions is 51858/152.Finally, LCM of Fractions for 134/152, 387/304 is 51858/152.