Least Common Multiple of 50/83, 68/17, 77/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/83, 68/17, 77/376 quickly i.e. 130900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/83, 68/17, 77/376 is 130900.

LCM(50/83, 68/17, 77/376) = 130900

LCM of 50/83, 68/17, 77/376

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 50/83,68/17,77/376

Given numbers are 50/83,68/17,77/376

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 50,68,77

Least Common Multiple of Numerators i.e. LCM of 50,68,77 is 130900.

GCF of Denominators means GCF of 83,17,376 as per the given fractions.

GCF of 83,17,376 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,68,77

LCM of Fractions 50/83,68/17,77/376 is 130900

2 50, 68, 77
25, 34, 77

∴ So the LCM of the given numbers is 2 x 25 x 34 x 77 = 130900

Least Common Multiple of 50,68,77 with GCF Formula

Least Common Multiple of 50,68,77 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 50,68,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,68,77) = 1

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

GCF(50,68,77) x common factors =1 x 2 = 2

LCM(50,68,77) = ( 50 × 68 × 77 ) / 2

LCM(50,68,77) = 261800 / 2

LCM(50,68,77) = 130900


Lets's calculate GCF of 83,17,376

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130900/1

Therefore the LCM of Fractions 50/83,68/17,77/376 is 130900

Greatest Common Factor of 83,17,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,17,376 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 83,17,376 . The biggest common factor number is the GCF number.
So the greatest common factor 83,17,376 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 50/83, 68/17, 77/376

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 50/83, 68/17, 77/376?

Answer: LCM of Numerators as per given numbers 50/83, 68/17, 77/376 is

LCM of Numerators i.e. for 50,68,77 is 130900

GCF of denominators i.e. for 83,17,376 is 1.

Thus, LCM of Fractions is 130900.Finally, LCM of Fractions for 50/83, 68/17, 77/376 is 130900.