Least Common Multiple of 82/42, 60/92, 87/29, 60/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/42, 60/92, 87/29, 60/954 quickly i.e. 71340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/42, 60/92, 87/29, 60/954 is 71340.

LCM(82/42, 60/92, 87/29, 60/954) = 71340

LCM of 82/42, 60/92, 87/29, 60/954

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 82/42,60/92,87/29,60/954

Given numbers are 82/42,60/92,87/29,60/954

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 82,60,87,60

Least Common Multiple of Numerators i.e. LCM of 82,60,87,60 is 71340.

GCF of Denominators means GCF of 42,92,29,954 as per the given fractions.

GCF of 42,92,29,954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,60,87,60

LCM of Fractions 82/42,60/92,87/29,60/954 is 71340

2 82, 60, 87, 60
2 41, 30, 87, 30
3 41, 15, 87, 15
5 41, 5, 29, 5
41, 1, 29, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 41 x 1 x 29 x 1 = 71340

Least Common Multiple of 82,60,87,60 with GCF Formula

Least Common Multiple of 82,60,87,60 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 82,60,87,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,60,87,60) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(82,60,87,60) x common factors =1 x 360 = 360

LCM(82,60,87,60) = ( 82 × 60 × 87 × 60 ) / 360

LCM(82,60,87,60) = 25682400 / 360

LCM(82,60,87,60) = 71340


Lets's calculate GCF of 42,92,29,954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71340/1

Therefore the LCM of Fractions 82/42,60/92,87/29,60/954 is 71340

Greatest Common Factor of 42,92,29,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,92,29,954 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 42,92,29,954 . The biggest common factor number is the GCF number.
So the greatest common factor 42,92,29,954 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 82/42, 60/92, 87/29, 60/954

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 82/42, 60/92, 87/29, 60/954?

Answer: LCM of Numerators as per given numbers 82/42, 60/92, 87/29, 60/954 is

LCM of Numerators i.e. for 82,60,87,60 is 71340

GCF of denominators i.e. for 42,92,29,954 is 1.

Thus, LCM of Fractions is 71340.Finally, LCM of Fractions for 82/42, 60/92, 87/29, 60/954 is 71340.