Least Common Multiple of 7508/99, 4634/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7508/99, 4634/473 quickly i.e. 17396036/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7508/99, 4634/473 is 17396036/11.

LCM(7508/99, 4634/473) = 17396036/11

LCM of 7508/99, 4634/473

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 7508/99,4634/473

Given numbers are 7508/99,4634/473

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 7508,4634

Least Common Multiple of Numerators i.e. LCM of 7508,4634 is 17396036.

GCF of Denominators means GCF of 99,473 as per the given fractions.

GCF of 99,473 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7508,4634

LCM of Fractions 7508/99,4634/473 is 17396036/11

2 7508, 4634
3754, 2317

∴ So the LCM of the given numbers is 2 x 3754 x 2317 = 17396036

Least Common Multiple of 7508,4634 with GCF Formula

Least Common Multiple of 7508,4634 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 7508,4634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7508,4634) = 2

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

GCF(7508,4634) x common factors =2 x 1 = 2

LCM(7508,4634) = ( 7508 × 4634 ) / 2

LCM(7508,4634) = 34792072 / 2

LCM(7508,4634) = 17396036


Lets's calculate GCF of 99,473

11 99, 473
9, 43

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17396036/11

Therefore the LCM of Fractions 7508/99,4634/473 is 17396036/11

Greatest Common Factor of 99,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,473 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 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 99,473 . The biggest common factor number is the GCF number.
So the greatest common factor 99,473 is 11.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 7508/99, 4634/473

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 7508/99, 4634/473?

Answer: LCM of Numerators as per given numbers 7508/99, 4634/473 is

LCM of Numerators i.e. for 7508,4634 is 17396036

GCF of denominators i.e. for 99,473 is 11.

Thus, LCM of Fractions is 17396036/11.Finally, LCM of Fractions for 7508/99, 4634/473 is 17396036/11.