Least Common Multiple of 726/162, 499/235, 886/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 726/162, 499/235, 886/953 quickly i.e. 160487382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/162, 499/235, 886/953 is 160487382.

LCM(726/162, 499/235, 886/953) = 160487382

LCM of 726/162, 499/235, 886/953

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 726/162,499/235,886/953

Given numbers are 726/162,499/235,886/953

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 726,499,886

Least Common Multiple of Numerators i.e. LCM of 726,499,886 is 160487382.

GCF of Denominators means GCF of 162,235,953 as per the given fractions.

GCF of 162,235,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,499,886

LCM of Fractions 726/162,499/235,886/953 is 160487382

2 726, 499, 886
363, 499, 443

∴ So the LCM of the given numbers is 2 x 363 x 499 x 443 = 160487382

Least Common Multiple of 726,499,886 with GCF Formula

Least Common Multiple of 726,499,886 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 726,499,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,499,886) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(726,499,886) x common factors =1 x 2 = 2

LCM(726,499,886) = ( 726 × 499 × 886 ) / 2

LCM(726,499,886) = 320974764 / 2

LCM(726,499,886) = 160487382


Lets's calculate GCF of 162,235,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160487382/1

Therefore the LCM of Fractions 726/162,499/235,886/953 is 160487382

Greatest Common Factor of 162,235,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,235,953 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 162,235,953 . The biggest common factor number is the GCF number.
So the greatest common factor 162,235,953 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 726/162, 499/235, 886/953

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 726/162, 499/235, 886/953?

Answer: LCM of Numerators as per given numbers 726/162, 499/235, 886/953 is

LCM of Numerators i.e. for 726,499,886 is 160487382

GCF of denominators i.e. for 162,235,953 is 1.

Thus, LCM of Fractions is 160487382.Finally, LCM of Fractions for 726/162, 499/235, 886/953 is 160487382.