Least Common Multiple of 283/40, 873/96, 553/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/40, 873/96, 553/952 quickly i.e. 136623627/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/40, 873/96, 553/952 is 136623627/8.

LCM(283/40, 873/96, 553/952) = 136623627/8

LCM of 283/40, 873/96, 553/952

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 283/40,873/96,553/952

Given numbers are 283/40,873/96,553/952

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 283,873,553

Least Common Multiple of Numerators i.e. LCM of 283,873,553 is 136623627.

GCF of Denominators means GCF of 40,96,952 as per the given fractions.

GCF of 40,96,952 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,873,553

LCM of Fractions 283/40,873/96,553/952 is 136623627/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 136623627

Least Common Multiple of 283,873,553 with GCF Formula

Least Common Multiple of 283,873,553 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 283,873,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,873,553) = 1

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

GCF(283,873,553) x common factors =1 x 1 = 1

LCM(283,873,553) = ( 283 × 873 × 553 ) / 1

LCM(283,873,553) = 136623627 / 1

LCM(283,873,553) = 136623627


Lets's calculate GCF of 40,96,952

2 40, 96, 952
2 20, 48, 476
2 10, 24, 238
5, 12, 119

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136623627/8

Therefore the LCM of Fractions 283/40,873/96,553/952 is 136623627/8

Greatest Common Factor of 40,96,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,96,952 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 40,96,952 . The biggest common factor number is the GCF number.
So the greatest common factor 40,96,952 is 8.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 283/40, 873/96, 553/952

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 283/40, 873/96, 553/952?

Answer: LCM of Numerators as per given numbers 283/40, 873/96, 553/952 is

LCM of Numerators i.e. for 283,873,553 is 136623627

GCF of denominators i.e. for 40,96,952 is 8.

Thus, LCM of Fractions is 136623627/8.Finally, LCM of Fractions for 283/40, 873/96, 553/952 is 136623627/8.