Least Common Multiple of 84/95, 63/55, 53/56, 87/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/95, 63/55, 53/56, 87/346 quickly i.e. 387324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/95, 63/55, 53/56, 87/346 is 387324.

LCM(84/95, 63/55, 53/56, 87/346) = 387324

LCM of 84/95, 63/55, 53/56, 87/346

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 84/95,63/55,53/56,87/346

Given numbers are 84/95,63/55,53/56,87/346

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 84,63,53,87

Least Common Multiple of Numerators i.e. LCM of 84,63,53,87 is 387324.

GCF of Denominators means GCF of 95,55,56,346 as per the given fractions.

GCF of 95,55,56,346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,63,53,87

LCM of Fractions 84/95,63/55,53/56,87/346 is 387324

3 84, 63, 53, 87
7 28, 21, 53, 29
4, 3, 53, 29

∴ So the LCM of the given numbers is 3 x 7 x 4 x 3 x 53 x 29 = 387324

Least Common Multiple of 84,63,53,87 with GCF Formula

Least Common Multiple of 84,63,53,87 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 84,63,53,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,63,53,87) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(84,63,53,87) x common factors =1 x 63 = 63

LCM(84,63,53,87) = ( 84 × 63 × 53 × 87 ) / 63

LCM(84,63,53,87) = 24401412 / 63

LCM(84,63,53,87) = 387324


Lets's calculate GCF of 95,55,56,346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387324/1

Therefore the LCM of Fractions 84/95,63/55,53/56,87/346 is 387324

Greatest Common Factor of 95,55,56,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,55,56,346 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 95,55,56,346 . The biggest common factor number is the GCF number.
So the greatest common factor 95,55,56,346 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/95, 63/55, 53/56, 87/346

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 84/95, 63/55, 53/56, 87/346?

Answer: LCM of Numerators as per given numbers 84/95, 63/55, 53/56, 87/346 is

LCM of Numerators i.e. for 84,63,53,87 is 387324

GCF of denominators i.e. for 95,55,56,346 is 1.

Thus, LCM of Fractions is 387324.Finally, LCM of Fractions for 84/95, 63/55, 53/56, 87/346 is 387324.