Least Common Multiple of 59/380, 50/956, 371/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 59/380, 50/956, 371/926 quickly i.e. 547225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/380, 50/956, 371/926 is 547225.

LCM(59/380, 50/956, 371/926) = 547225

LCM of 59/380, 50/956, 371/926

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 59/380,50/956,371/926

Given numbers are 59/380,50/956,371/926

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 59,50,371

Least Common Multiple of Numerators i.e. LCM of 59,50,371 is 1094450.

GCF of Denominators means GCF of 380,956,926 as per the given fractions.

GCF of 380,956,926 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,50,371

LCM of Fractions 59/380,50/956,371/926 is 547225

Given numbers has no common factors except 1. So, there LCM is their product i.e 1094450

Least Common Multiple of 59,50,371 with GCF Formula

Least Common Multiple of 59,50,371 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 59,50,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,50,371) = 1

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

GCF(59,50,371) x common factors =1 x 1 = 1

LCM(59,50,371) = ( 59 × 50 × 371 ) / 1

LCM(59,50,371) = 1094450 / 1

LCM(59,50,371) = 1094450


Lets's calculate GCF of 380,956,926

2 380, 956, 926
190, 478, 463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1094450/2

Therefore the LCM of Fractions 59/380,50/956,371/926 is 547225

Greatest Common Factor of 380,956,926 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,956,926 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Greatest Common Factor

We found the factors 380,956,926 . The biggest common factor number is the GCF number.
So the greatest common factor 380,956,926 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 59/380, 50/956, 371/926

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 59/380, 50/956, 371/926?

Answer: LCM of Numerators as per given numbers 59/380, 50/956, 371/926 is

LCM of Numerators i.e. for 59,50,371 is 1094450

GCF of denominators i.e. for 380,956,926 is 2.

Thus, LCM of Fractions is 547225.Finally, LCM of Fractions for 59/380, 50/956, 371/926 is 547225.