Least Common Multiple of 4241/50, 8277/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4241/50, 8277/595 quickly i.e. 35102757/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4241/50, 8277/595 is 35102757/5.

LCM(4241/50, 8277/595) = 35102757/5

LCM of 4241/50, 8277/595

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 4241/50,8277/595

Given numbers are 4241/50,8277/595

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 4241,8277

Least Common Multiple of Numerators i.e. LCM of 4241,8277 is 35102757.

GCF of Denominators means GCF of 50,595 as per the given fractions.

GCF of 50,595 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4241,8277

LCM of Fractions 4241/50,8277/595 is 35102757/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 35102757

Least Common Multiple of 4241,8277 with GCF Formula

Least Common Multiple of 4241,8277 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 4241,8277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4241,8277) = 1

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

GCF(4241,8277) x common factors =1 x 1 = 1

LCM(4241,8277) = ( 4241 × 8277 ) / 1

LCM(4241,8277) = 35102757 / 1

LCM(4241,8277) = 35102757


Lets's calculate GCF of 50,595

5 50, 595
10, 119

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35102757/5

Therefore the LCM of Fractions 4241/50,8277/595 is 35102757/5

Greatest Common Factor of 50,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,595 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 50,595 . The biggest common factor number is the GCF number.
So the greatest common factor 50,595 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4241/50, 8277/595

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 4241/50, 8277/595?

Answer: LCM of Numerators as per given numbers 4241/50, 8277/595 is

LCM of Numerators i.e. for 4241,8277 is 35102757

GCF of denominators i.e. for 50,595 is 5.

Thus, LCM of Fractions is 35102757/5.Finally, LCM of Fractions for 4241/50, 8277/595 is 35102757/5.