Least Common Multiple of 88/925, 82/572, 823/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/925, 82/572, 823/225 quickly i.e. 2969384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/925, 82/572, 823/225 is 2969384.

LCM(88/925, 82/572, 823/225) = 2969384

LCM of 88/925, 82/572, 823/225

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 88/925,82/572,823/225

Given numbers are 88/925,82/572,823/225

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 88,82,823

Least Common Multiple of Numerators i.e. LCM of 88,82,823 is 2969384.

GCF of Denominators means GCF of 925,572,225 as per the given fractions.

GCF of 925,572,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,82,823

LCM of Fractions 88/925,82/572,823/225 is 2969384

2 88, 82, 823
44, 41, 823

∴ So the LCM of the given numbers is 2 x 44 x 41 x 823 = 2969384

Least Common Multiple of 88,82,823 with GCF Formula

Least Common Multiple of 88,82,823 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 88,82,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,82,823) = 1

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

GCF(88,82,823) x common factors =1 x 2 = 2

LCM(88,82,823) = ( 88 × 82 × 823 ) / 2

LCM(88,82,823) = 5938768 / 2

LCM(88,82,823) = 2969384


Lets's calculate GCF of 925,572,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2969384/1

Therefore the LCM of Fractions 88/925,82/572,823/225 is 2969384

Greatest Common Factor of 925,572,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,572,225 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 925,572,225 . The biggest common factor number is the GCF number.
So the greatest common factor 925,572,225 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/925, 82/572, 823/225

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 88/925, 82/572, 823/225?

Answer: LCM of Numerators as per given numbers 88/925, 82/572, 823/225 is

LCM of Numerators i.e. for 88,82,823 is 2969384

GCF of denominators i.e. for 925,572,225 is 1.

Thus, LCM of Fractions is 2969384.Finally, LCM of Fractions for 88/925, 82/572, 823/225 is 2969384.