Least Common Multiple of 77/46, 29/54, 400/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/46, 29/54, 400/195 quickly i.e. 893200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/46, 29/54, 400/195 is 893200.

LCM(77/46, 29/54, 400/195) = 893200

LCM of 77/46, 29/54, 400/195

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 77/46,29/54,400/195

Given numbers are 77/46,29/54,400/195

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 77,29,400

Least Common Multiple of Numerators i.e. LCM of 77,29,400 is 893200.

GCF of Denominators means GCF of 46,54,195 as per the given fractions.

GCF of 46,54,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,29,400

LCM of Fractions 77/46,29/54,400/195 is 893200

Given numbers has no common factors except 1. So, there LCM is their product i.e 893200

Least Common Multiple of 77,29,400 with GCF Formula

Least Common Multiple of 77,29,400 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 77,29,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,29,400) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(77,29,400) x common factors =1 x 1 = 1

LCM(77,29,400) = ( 77 × 29 × 400 ) / 1

LCM(77,29,400) = 893200 / 1

LCM(77,29,400) = 893200


Lets's calculate GCF of 46,54,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 893200/1

Therefore the LCM of Fractions 77/46,29/54,400/195 is 893200

Greatest Common Factor of 46,54,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,54,195 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 46,54,195 . The biggest common factor number is the GCF number.
So the greatest common factor 46,54,195 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/46, 29/54, 400/195

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 77/46, 29/54, 400/195?

Answer: LCM of Numerators as per given numbers 77/46, 29/54, 400/195 is

LCM of Numerators i.e. for 77,29,400 is 893200

GCF of denominators i.e. for 46,54,195 is 1.

Thus, LCM of Fractions is 893200.Finally, LCM of Fractions for 77/46, 29/54, 400/195 is 893200.