Least Common Multiple of 334/85, 256/63, 966/50

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 334/85, 256/63, 966/50 quickly i.e. 20649216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 334/85, 256/63, 966/50 is 20649216.

LCM(334/85, 256/63, 966/50) = 20649216

LCM of 334/85, 256/63, 966/50

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 334/85,256/63,966/50

Given numbers are 334/85,256/63,966/50

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 334,256,966

Least Common Multiple of Numerators i.e. LCM of 334,256,966 is 20649216.

GCF of Denominators means GCF of 85,63,50 as per the given fractions.

GCF of 85,63,50 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 334,256,966

LCM of Fractions 334/85,256/63,966/50 is 20649216

2 334, 256, 966
167, 128, 483

∴ So the LCM of the given numbers is 2 x 167 x 128 x 483 = 20649216

Least Common Multiple of 334,256,966 with GCF Formula

Least Common Multiple of 334,256,966 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 334,256,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,256,966) = 2

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

GCF(334,256,966) x common factors =2 x 2 = 4

LCM(334,256,966) = ( 334 × 256 × 966 ) / 4

LCM(334,256,966) = 82596864 / 4

LCM(334,256,966) = 20649216


Lets's calculate GCF of 85,63,50

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20649216/1

Therefore the LCM of Fractions 334/85,256/63,966/50 is 20649216

Greatest Common Factor of 85,63,50 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,63,50 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 63

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

1,3,7,9,21,63

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Greatest Common Factor

We found the factors 85,63,50 . The biggest common factor number is the GCF number.
So the greatest common factor 85,63,50 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 334/85, 256/63, 966/50

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 334/85, 256/63, 966/50?

Answer: LCM of Numerators as per given numbers 334/85, 256/63, 966/50 is

LCM of Numerators i.e. for 334,256,966 is 20649216

GCF of denominators i.e. for 85,63,50 is 1.

Thus, LCM of Fractions is 20649216.Finally, LCM of Fractions for 334/85, 256/63, 966/50 is 20649216.