Least Common Multiple of 268/99, 7736/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 268/99, 7736/575 quickly i.e. 518312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/99, 7736/575 is 518312.

LCM(268/99, 7736/575) = 518312

LCM of 268/99, 7736/575

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 268/99,7736/575

Given numbers are 268/99,7736/575

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 268,7736

Least Common Multiple of Numerators i.e. LCM of 268,7736 is 518312.

GCF of Denominators means GCF of 99,575 as per the given fractions.

GCF of 99,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,7736

LCM of Fractions 268/99,7736/575 is 518312

2 268, 7736
2 134, 3868
67, 1934

∴ So the LCM of the given numbers is 2 x 2 x 67 x 1934 = 518312

Least Common Multiple of 268,7736 with GCF Formula

Least Common Multiple of 268,7736 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 268,7736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,7736) = 4

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

GCF(268,7736) x common factors =4 x 1 = 4

LCM(268,7736) = ( 268 × 7736 ) / 4

LCM(268,7736) = 2073248 / 4

LCM(268,7736) = 518312


Lets's calculate GCF of 99,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518312/1

Therefore the LCM of Fractions 268/99,7736/575 is 518312

Greatest Common Factor of 99,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,575 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 99,575 . The biggest common factor number is the GCF number.
So the greatest common factor 99,575 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 268/99, 7736/575

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 268/99, 7736/575?

Answer: LCM of Numerators as per given numbers 268/99, 7736/575 is

LCM of Numerators i.e. for 268,7736 is 518312

GCF of denominators i.e. for 99,575 is 1.

Thus, LCM of Fractions is 518312.Finally, LCM of Fractions for 268/99, 7736/575 is 518312.