Least Common Multiple of 118/77, 299/9949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 118/77, 299/9949 quickly i.e. 35282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 118/77, 299/9949 is 35282.

LCM(118/77, 299/9949) = 35282

LCM of 118/77, 299/9949

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 118/77,299/9949

Given numbers are 118/77,299/9949

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 118,299

Least Common Multiple of Numerators i.e. LCM of 118,299 is 35282.

GCF of Denominators means GCF of 77,9949 as per the given fractions.

GCF of 77,9949 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 118,299

LCM of Fractions 118/77,299/9949 is 35282

Given numbers has no common factors except 1. So, there LCM is their product i.e 35282

Least Common Multiple of 118,299 with GCF Formula

Least Common Multiple of 118,299 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 118,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(118,299) = 1

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

GCF(118,299) x common factors =1 x 1 = 1

LCM(118,299) = ( 118 × 299 ) / 1

LCM(118,299) = 35282 / 1

LCM(118,299) = 35282


Lets's calculate GCF of 77,9949

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35282/1

Therefore the LCM of Fractions 118/77,299/9949 is 35282

Greatest Common Factor of 77,9949 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,9949 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 9949

List of positive integer factors of 9949 that divides 9949 without a remainder.

1,9949

Greatest Common Factor

We found the factors 77,9949 . The biggest common factor number is the GCF number.
So the greatest common factor 77,9949 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 118/77, 299/9949

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 118/77, 299/9949?

Answer: LCM of Numerators as per given numbers 118/77, 299/9949 is

LCM of Numerators i.e. for 118,299 is 35282

GCF of denominators i.e. for 77,9949 is 1.

Thus, LCM of Fractions is 35282.Finally, LCM of Fractions for 118/77, 299/9949 is 35282.