Least Common Multiple of 95/434, 91/358, 889/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 95/434, 91/358, 889/378 quickly i.e. 1097915/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/434, 91/358, 889/378 is 1097915/2.

LCM(95/434, 91/358, 889/378) = 1097915/2

LCM of 95/434, 91/358, 889/378

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 95/434,91/358,889/378

Given numbers are 95/434,91/358,889/378

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 95,91,889

Least Common Multiple of Numerators i.e. LCM of 95,91,889 is 1097915.

GCF of Denominators means GCF of 434,358,378 as per the given fractions.

GCF of 434,358,378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,91,889

LCM of Fractions 95/434,91/358,889/378 is 1097915/2

7 95, 91, 889
95, 13, 127

∴ So the LCM of the given numbers is 7 x 95 x 13 x 127 = 1097915

Least Common Multiple of 95,91,889 with GCF Formula

Least Common Multiple of 95,91,889 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 95,91,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,91,889) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(95,91,889) x common factors =1 x 7 = 7

LCM(95,91,889) = ( 95 × 91 × 889 ) / 7

LCM(95,91,889) = 7685405 / 7

LCM(95,91,889) = 1097915


Lets's calculate GCF of 434,358,378

2 434, 358, 378
217, 179, 189

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1097915/2

Therefore the LCM of Fractions 95/434,91/358,889/378 is 1097915/2

Greatest Common Factor of 434,358,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,358,378 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 434,358,378 . The biggest common factor number is the GCF number.
So the greatest common factor 434,358,378 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 95/434, 91/358, 889/378

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 95/434, 91/358, 889/378?

Answer: LCM of Numerators as per given numbers 95/434, 91/358, 889/378 is

LCM of Numerators i.e. for 95,91,889 is 1097915

GCF of denominators i.e. for 434,358,378 is 2.

Thus, LCM of Fractions is 1097915/2.Finally, LCM of Fractions for 95/434, 91/358, 889/378 is 1097915/2.