Least Common Multiple of 88/498, 56/622, 293/183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/498, 56/622, 293/183 quickly i.e. 180488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/498, 56/622, 293/183 is 180488.

LCM(88/498, 56/622, 293/183) = 180488

LCM of 88/498, 56/622, 293/183

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 88/498,56/622,293/183

Given numbers are 88/498,56/622,293/183

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 88,56,293

Least Common Multiple of Numerators i.e. LCM of 88,56,293 is 180488.

GCF of Denominators means GCF of 498,622,183 as per the given fractions.

GCF of 498,622,183 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,56,293

LCM of Fractions 88/498,56/622,293/183 is 180488

2 88, 56, 293
2 44, 28, 293
2 22, 14, 293
11, 7, 293

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 293 = 180488

Least Common Multiple of 88,56,293 with GCF Formula

Least Common Multiple of 88,56,293 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 88,56,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,56,293) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(88,56,293) x common factors =1 x 8 = 8

LCM(88,56,293) = ( 88 × 56 × 293 ) / 8

LCM(88,56,293) = 1443904 / 8

LCM(88,56,293) = 180488


Lets's calculate GCF of 498,622,183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180488/1

Therefore the LCM of Fractions 88/498,56/622,293/183 is 180488

Greatest Common Factor of 498,622,183 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,622,183 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors 498,622,183 . The biggest common factor number is the GCF number.
So the greatest common factor 498,622,183 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 88/498, 56/622, 293/183

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 88/498, 56/622, 293/183?

Answer: LCM of Numerators as per given numbers 88/498, 56/622, 293/183 is

LCM of Numerators i.e. for 88,56,293 is 180488

GCF of denominators i.e. for 498,622,183 is 1.

Thus, LCM of Fractions is 180488.Finally, LCM of Fractions for 88/498, 56/622, 293/183 is 180488.