Least Common Multiple of 953/17, 147/99, 821/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 953/17, 147/99, 821/548 quickly i.e. 115014711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 953/17, 147/99, 821/548 is 115014711.

LCM(953/17, 147/99, 821/548) = 115014711

LCM of 953/17, 147/99, 821/548

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 953/17,147/99,821/548

Given numbers are 953/17,147/99,821/548

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 953,147,821

Least Common Multiple of Numerators i.e. LCM of 953,147,821 is 115014711.

GCF of Denominators means GCF of 17,99,548 as per the given fractions.

GCF of 17,99,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 953,147,821

LCM of Fractions 953/17,147/99,821/548 is 115014711

Given numbers has no common factors except 1. So, there LCM is their product i.e 115014711

Least Common Multiple of 953,147,821 with GCF Formula

Least Common Multiple of 953,147,821 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 953,147,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,147,821) = 1

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

GCF(953,147,821) x common factors =1 x 1 = 1

LCM(953,147,821) = ( 953 × 147 × 821 ) / 1

LCM(953,147,821) = 115014711 / 1

LCM(953,147,821) = 115014711


Lets's calculate GCF of 17,99,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115014711/1

Therefore the LCM of Fractions 953/17,147/99,821/548 is 115014711

Greatest Common Factor of 17,99,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,99,548 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 99

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

1,3,9,11,33,99

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 17,99,548 . The biggest common factor number is the GCF number.
So the greatest common factor 17,99,548 is 1.


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Frequently Asked Questions on Fractional LCM of 953/17, 147/99, 821/548

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 953/17, 147/99, 821/548?

Answer: LCM of Numerators as per given numbers 953/17, 147/99, 821/548 is

LCM of Numerators i.e. for 953,147,821 is 115014711

GCF of denominators i.e. for 17,99,548 is 1.

Thus, LCM of Fractions is 115014711.Finally, LCM of Fractions for 953/17, 147/99, 821/548 is 115014711.