Least Common Multiple of 71/76, 18/871, 946/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/76, 18/871, 946/102 quickly i.e. 604494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/76, 18/871, 946/102 is 604494.

LCM(71/76, 18/871, 946/102) = 604494

LCM of 71/76, 18/871, 946/102

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 71/76,18/871,946/102

Given numbers are 71/76,18/871,946/102

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 71,18,946

Least Common Multiple of Numerators i.e. LCM of 71,18,946 is 604494.

GCF of Denominators means GCF of 76,871,102 as per the given fractions.

GCF of 76,871,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,18,946

LCM of Fractions 71/76,18/871,946/102 is 604494

2 71, 18, 946
71, 9, 473

∴ So the LCM of the given numbers is 2 x 71 x 9 x 473 = 604494

Least Common Multiple of 71,18,946 with GCF Formula

Least Common Multiple of 71,18,946 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 71,18,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,18,946) = 1

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

GCF(71,18,946) x common factors =1 x 2 = 2

LCM(71,18,946) = ( 71 × 18 × 946 ) / 2

LCM(71,18,946) = 1208988 / 2

LCM(71,18,946) = 604494


Lets's calculate GCF of 76,871,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604494/1

Therefore the LCM of Fractions 71/76,18/871,946/102 is 604494

Greatest Common Factor of 76,871,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,871,102 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 102

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

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

Greatest Common Factor

We found the factors 76,871,102 . The biggest common factor number is the GCF number.
So the greatest common factor 76,871,102 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 71/76, 18/871, 946/102

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 71/76, 18/871, 946/102?

Answer: LCM of Numerators as per given numbers 71/76, 18/871, 946/102 is

LCM of Numerators i.e. for 71,18,946 is 604494

GCF of denominators i.e. for 76,871,102 is 1.

Thus, LCM of Fractions is 604494.Finally, LCM of Fractions for 71/76, 18/871, 946/102 is 604494.