Least Common Multiple of 58/63, 84/91, 41/47, 82/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/63, 84/91, 41/47, 82/611 quickly i.e. 99876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/63, 84/91, 41/47, 82/611 is 99876.

LCM(58/63, 84/91, 41/47, 82/611) = 99876

LCM of 58/63, 84/91, 41/47, 82/611

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 58/63,84/91,41/47,82/611

Given numbers are 58/63,84/91,41/47,82/611

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 58,84,41,82

Least Common Multiple of Numerators i.e. LCM of 58,84,41,82 is 99876.

GCF of Denominators means GCF of 63,91,47,611 as per the given fractions.

GCF of 63,91,47,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,84,41,82

LCM of Fractions 58/63,84/91,41/47,82/611 is 99876

2 58, 84, 41, 82
41 29, 42, 41, 41
29, 42, 1, 1

∴ So the LCM of the given numbers is 2 x 41 x 29 x 42 x 1 x 1 = 99876

Least Common Multiple of 58,84,41,82 with GCF Formula

Least Common Multiple of 58,84,41,82 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 58,84,41,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,84,41,82) = 1

common factors(in case of two or more numbers have common factors) = 164

GCF(58,84,41,82) x common factors =1 x 164 = 164

LCM(58,84,41,82) = ( 58 × 84 × 41 × 82 ) / 164

LCM(58,84,41,82) = 16379664 / 164

LCM(58,84,41,82) = 99876


Lets's calculate GCF of 63,91,47,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99876/1

Therefore the LCM of Fractions 58/63,84/91,41/47,82/611 is 99876

Greatest Common Factor of 63,91,47,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,91,47,611 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 63,91,47,611 . The biggest common factor number is the GCF number.
So the greatest common factor 63,91,47,611 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/63, 84/91, 41/47, 82/611

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 58/63, 84/91, 41/47, 82/611?

Answer: LCM of Numerators as per given numbers 58/63, 84/91, 41/47, 82/611 is

LCM of Numerators i.e. for 58,84,41,82 is 99876

GCF of denominators i.e. for 63,91,47,611 is 1.

Thus, LCM of Fractions is 99876.Finally, LCM of Fractions for 58/63, 84/91, 41/47, 82/611 is 99876.