Least Common Multiple of 50/364, 237/931, 905/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/364, 237/931, 905/175 quickly i.e. 2144850/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/364, 237/931, 905/175 is 2144850/7.

LCM(50/364, 237/931, 905/175) = 2144850/7

LCM of 50/364, 237/931, 905/175

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 50/364,237/931,905/175

Given numbers are 50/364,237/931,905/175

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 50,237,905

Least Common Multiple of Numerators i.e. LCM of 50,237,905 is 2144850.

GCF of Denominators means GCF of 364,931,175 as per the given fractions.

GCF of 364,931,175 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,237,905

LCM of Fractions 50/364,237/931,905/175 is 2144850/7

5 50, 237, 905
10, 237, 181

∴ So the LCM of the given numbers is 5 x 10 x 237 x 181 = 2144850

Least Common Multiple of 50,237,905 with GCF Formula

Least Common Multiple of 50,237,905 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 50,237,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,237,905) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(50,237,905) x common factors =1 x 5 = 5

LCM(50,237,905) = ( 50 × 237 × 905 ) / 5

LCM(50,237,905) = 10724250 / 5

LCM(50,237,905) = 2144850


Lets's calculate GCF of 364,931,175

7 364, 931, 175
52, 133, 25

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2144850/7

Therefore the LCM of Fractions 50/364,237/931,905/175 is 2144850/7

Greatest Common Factor of 364,931,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,931,175 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 364,931,175 . The biggest common factor number is the GCF number.
So the greatest common factor 364,931,175 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/364, 237/931, 905/175

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 50/364, 237/931, 905/175?

Answer: LCM of Numerators as per given numbers 50/364, 237/931, 905/175 is

LCM of Numerators i.e. for 50,237,905 is 2144850

GCF of denominators i.e. for 364,931,175 is 7.

Thus, LCM of Fractions is 2144850/7.Finally, LCM of Fractions for 50/364, 237/931, 905/175 is 2144850/7.