Least Common Multiple of 51/38, 626/33, 172/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 51/38, 626/33, 172/889 quickly i.e. 2745636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/38, 626/33, 172/889 is 2745636.

LCM(51/38, 626/33, 172/889) = 2745636

LCM of 51/38, 626/33, 172/889

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 51/38,626/33,172/889

Given numbers are 51/38,626/33,172/889

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 51,626,172

Least Common Multiple of Numerators i.e. LCM of 51,626,172 is 2745636.

GCF of Denominators means GCF of 38,33,889 as per the given fractions.

GCF of 38,33,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,626,172

LCM of Fractions 51/38,626/33,172/889 is 2745636

2 51, 626, 172
51, 313, 86

∴ So the LCM of the given numbers is 2 x 51 x 313 x 86 = 2745636

Least Common Multiple of 51,626,172 with GCF Formula

Least Common Multiple of 51,626,172 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 51,626,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,626,172) = 1

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

GCF(51,626,172) x common factors =1 x 2 = 2

LCM(51,626,172) = ( 51 × 626 × 172 ) / 2

LCM(51,626,172) = 5491272 / 2

LCM(51,626,172) = 2745636


Lets's calculate GCF of 38,33,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2745636/1

Therefore the LCM of Fractions 51/38,626/33,172/889 is 2745636

Greatest Common Factor of 38,33,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,33,889 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 38,33,889 . The biggest common factor number is the GCF number.
So the greatest common factor 38,33,889 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 51/38, 626/33, 172/889

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 51/38, 626/33, 172/889?

Answer: LCM of Numerators as per given numbers 51/38, 626/33, 172/889 is

LCM of Numerators i.e. for 51,626,172 is 2745636

GCF of denominators i.e. for 38,33,889 is 1.

Thus, LCM of Fractions is 2745636.Finally, LCM of Fractions for 51/38, 626/33, 172/889 is 2745636.