Least Common Multiple of 899/76, 523/51, 127/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 899/76, 523/51, 127/428 quickly i.e. 59712479 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 899/76, 523/51, 127/428 is 59712479.

LCM(899/76, 523/51, 127/428) = 59712479

LCM of 899/76, 523/51, 127/428

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 899/76,523/51,127/428

Given numbers are 899/76,523/51,127/428

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 899,523,127

Least Common Multiple of Numerators i.e. LCM of 899,523,127 is 59712479.

GCF of Denominators means GCF of 76,51,428 as per the given fractions.

GCF of 76,51,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 899,523,127

LCM of Fractions 899/76,523/51,127/428 is 59712479

Given numbers has no common factors except 1. So, there LCM is their product i.e 59712479

Least Common Multiple of 899,523,127 with GCF Formula

Least Common Multiple of 899,523,127 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 899,523,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(899,523,127) = 1

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

GCF(899,523,127) x common factors =1 x 1 = 1

LCM(899,523,127) = ( 899 × 523 × 127 ) / 1

LCM(899,523,127) = 59712479 / 1

LCM(899,523,127) = 59712479


Lets's calculate GCF of 76,51,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59712479/1

Therefore the LCM of Fractions 899/76,523/51,127/428 is 59712479

Greatest Common Factor of 76,51,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,51,428 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 76,51,428 . The biggest common factor number is the GCF number.
So the greatest common factor 76,51,428 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 899/76, 523/51, 127/428

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 899/76, 523/51, 127/428?

Answer: LCM of Numerators as per given numbers 899/76, 523/51, 127/428 is

LCM of Numerators i.e. for 899,523,127 is 59712479

GCF of denominators i.e. for 76,51,428 is 1.

Thus, LCM of Fractions is 59712479.Finally, LCM of Fractions for 899/76, 523/51, 127/428 is 59712479.