Least Common Multiple of 76/87, 98/66, 415/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/87, 98/66, 415/142 quickly i.e. 1545460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/87, 98/66, 415/142 is 1545460.

LCM(76/87, 98/66, 415/142) = 1545460

LCM of 76/87, 98/66, 415/142

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 76/87,98/66,415/142

Given numbers are 76/87,98/66,415/142

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 76,98,415

Least Common Multiple of Numerators i.e. LCM of 76,98,415 is 1545460.

GCF of Denominators means GCF of 87,66,142 as per the given fractions.

GCF of 87,66,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,98,415

LCM of Fractions 76/87,98/66,415/142 is 1545460

2 76, 98, 415
38, 49, 415

∴ So the LCM of the given numbers is 2 x 38 x 49 x 415 = 1545460

Least Common Multiple of 76,98,415 with GCF Formula

Least Common Multiple of 76,98,415 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 76,98,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,98,415) = 1

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

GCF(76,98,415) x common factors =1 x 2 = 2

LCM(76,98,415) = ( 76 × 98 × 415 ) / 2

LCM(76,98,415) = 3090920 / 2

LCM(76,98,415) = 1545460


Lets's calculate GCF of 87,66,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1545460/1

Therefore the LCM of Fractions 76/87,98/66,415/142 is 1545460

Greatest Common Factor of 87,66,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,66,142 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 87,66,142 . The biggest common factor number is the GCF number.
So the greatest common factor 87,66,142 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 76/87, 98/66, 415/142

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 76/87, 98/66, 415/142?

Answer: LCM of Numerators as per given numbers 76/87, 98/66, 415/142 is

LCM of Numerators i.e. for 76,98,415 is 1545460

GCF of denominators i.e. for 87,66,142 is 1.

Thus, LCM of Fractions is 1545460.Finally, LCM of Fractions for 76/87, 98/66, 415/142 is 1545460.