Least Common Multiple of 1/152, 78/323, 94/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1/152, 78/323, 94/665 quickly i.e. 3666/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/152, 78/323, 94/665 is 3666/19.

LCM(1/152, 78/323, 94/665) = 3666/19

LCM of 1/152, 78/323, 94/665

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 1/152,78/323,94/665

Given numbers are 1/152,78/323,94/665

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 1,78,94

Least Common Multiple of Numerators i.e. LCM of 1,78,94 is 3666.

GCF of Denominators means GCF of 152,323,665 as per the given fractions.

GCF of 152,323,665 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,78,94

LCM of Fractions 1/152,78/323,94/665 is 3666/19

2 1, 78, 94
1, 39, 47

∴ So the LCM of the given numbers is 2 x 1 x 39 x 47 = 3666

Least Common Multiple of 1,78,94 with GCF Formula

Least Common Multiple of 1,78,94 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 1,78,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,78,94) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(1,78,94) x common factors =1 x 2 = 2

LCM(1,78,94) = ( 1 × 78 × 94 ) / 2

LCM(1,78,94) = 7332 / 2

LCM(1,78,94) = 3666


Lets's calculate GCF of 152,323,665

19 152, 323, 665
8, 17, 35

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3666/19

Therefore the LCM of Fractions 1/152,78/323,94/665 is 3666/19

Greatest Common Factor of 152,323,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,323,665 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 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 152,323,665 . The biggest common factor number is the GCF number.
So the greatest common factor 152,323,665 is 19.


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Frequently Asked Questions on Fractional LCM of 1/152, 78/323, 94/665

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 1/152, 78/323, 94/665?

Answer: LCM of Numerators as per given numbers 1/152, 78/323, 94/665 is

LCM of Numerators i.e. for 1,78,94 is 3666

GCF of denominators i.e. for 152,323,665 is 19.

Thus, LCM of Fractions is 3666/19.Finally, LCM of Fractions for 1/152, 78/323, 94/665 is 3666/19.