Least Common Multiple of 50/514, 746/134, 739/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/514, 746/134, 739/502 quickly i.e. 6891175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/514, 746/134, 739/502 is 6891175.

LCM(50/514, 746/134, 739/502) = 6891175

LCM of 50/514, 746/134, 739/502

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 50/514,746/134,739/502

Given numbers are 50/514,746/134,739/502

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 50,746,739

Least Common Multiple of Numerators i.e. LCM of 50,746,739 is 13782350.

GCF of Denominators means GCF of 514,134,502 as per the given fractions.

GCF of 514,134,502 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,746,739

LCM of Fractions 50/514,746/134,739/502 is 6891175

2 50, 746, 739
25, 373, 739

∴ So the LCM of the given numbers is 2 x 25 x 373 x 739 = 13782350

Least Common Multiple of 50,746,739 with GCF Formula

Least Common Multiple of 50,746,739 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 50,746,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,746,739) = 1

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

GCF(50,746,739) x common factors =1 x 2 = 2

LCM(50,746,739) = ( 50 × 746 × 739 ) / 2

LCM(50,746,739) = 27564700 / 2

LCM(50,746,739) = 13782350


Lets's calculate GCF of 514,134,502

2 514, 134, 502
257, 67, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13782350/2

Therefore the LCM of Fractions 50/514,746/134,739/502 is 6891175

Greatest Common Factor of 514,134,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,134,502 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 514,134,502 . The biggest common factor number is the GCF number.
So the greatest common factor 514,134,502 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 50/514, 746/134, 739/502

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 50/514, 746/134, 739/502?

Answer: LCM of Numerators as per given numbers 50/514, 746/134, 739/502 is

LCM of Numerators i.e. for 50,746,739 is 13782350

GCF of denominators i.e. for 514,134,502 is 2.

Thus, LCM of Fractions is 6891175.Finally, LCM of Fractions for 50/514, 746/134, 739/502 is 6891175.