Least Common Multiple of 115/149, 1241/4776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 115/149, 1241/4776 quickly i.e. 142715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/149, 1241/4776 is 142715.

LCM(115/149, 1241/4776) = 142715

LCM of 115/149, 1241/4776

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 115/149,1241/4776

Given numbers are 115/149,1241/4776

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 115,1241

Least Common Multiple of Numerators i.e. LCM of 115,1241 is 142715.

GCF of Denominators means GCF of 149,4776 as per the given fractions.

GCF of 149,4776 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,1241

LCM of Fractions 115/149,1241/4776 is 142715

Given numbers has no common factors except 1. So, there LCM is their product i.e 142715

Least Common Multiple of 115,1241 with GCF Formula

Least Common Multiple of 115,1241 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 115,1241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,1241) = 1

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

GCF(115,1241) x common factors =1 x 1 = 1

LCM(115,1241) = ( 115 × 1241 ) / 1

LCM(115,1241) = 142715 / 1

LCM(115,1241) = 142715


Lets's calculate GCF of 149,4776

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142715/1

Therefore the LCM of Fractions 115/149,1241/4776 is 142715

Greatest Common Factor of 149,4776 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,4776 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 4776

List of positive integer factors of 4776 that divides 4776 without a remainder.

1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776

Greatest Common Factor

We found the factors 149,4776 . The biggest common factor number is the GCF number.
So the greatest common factor 149,4776 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 115/149, 1241/4776

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 115/149, 1241/4776?

Answer: LCM of Numerators as per given numbers 115/149, 1241/4776 is

LCM of Numerators i.e. for 115,1241 is 142715

GCF of denominators i.e. for 149,4776 is 1.

Thus, LCM of Fractions is 142715.Finally, LCM of Fractions for 115/149, 1241/4776 is 142715.