Least Common Multiple of 54/102, 80/342, 316/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/102, 80/342, 316/947 quickly i.e. 170640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/102, 80/342, 316/947 is 170640.

LCM(54/102, 80/342, 316/947) = 170640

LCM of 54/102, 80/342, 316/947

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 54/102,80/342,316/947

Given numbers are 54/102,80/342,316/947

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 54,80,316

Least Common Multiple of Numerators i.e. LCM of 54,80,316 is 170640.

GCF of Denominators means GCF of 102,342,947 as per the given fractions.

GCF of 102,342,947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,80,316

LCM of Fractions 54/102,80/342,316/947 is 170640

2 54, 80, 316
2 27, 40, 158
27, 20, 79

∴ So the LCM of the given numbers is 2 x 2 x 27 x 20 x 79 = 170640

Least Common Multiple of 54,80,316 with GCF Formula

Least Common Multiple of 54,80,316 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 54,80,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,80,316) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(54,80,316) x common factors =2 x 4 = 8

LCM(54,80,316) = ( 54 × 80 × 316 ) / 8

LCM(54,80,316) = 1365120 / 8

LCM(54,80,316) = 170640


Lets's calculate GCF of 102,342,947

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170640/1

Therefore the LCM of Fractions 54/102,80/342,316/947 is 170640

Greatest Common Factor of 102,342,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,342,947 By Matching Biggest Common Factor Method

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 102,342,947 . The biggest common factor number is the GCF number.
So the greatest common factor 102,342,947 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 54/102, 80/342, 316/947

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 54/102, 80/342, 316/947?

Answer: LCM of Numerators as per given numbers 54/102, 80/342, 316/947 is

LCM of Numerators i.e. for 54,80,316 is 170640

GCF of denominators i.e. for 102,342,947 is 1.

Thus, LCM of Fractions is 170640.Finally, LCM of Fractions for 54/102, 80/342, 316/947 is 170640.