Least Common Multiple of 9225/832, 1582/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9225/832, 1582/766 quickly i.e. 7296975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9225/832, 1582/766 is 7296975.

LCM(9225/832, 1582/766) = 7296975

LCM of 9225/832, 1582/766

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 9225/832,1582/766

Given numbers are 9225/832,1582/766

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 9225,1582

Least Common Multiple of Numerators i.e. LCM of 9225,1582 is 14593950.

GCF of Denominators means GCF of 832,766 as per the given fractions.

GCF of 832,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9225,1582

LCM of Fractions 9225/832,1582/766 is 7296975

Given numbers has no common factors except 1. So, there LCM is their product i.e 14593950

Least Common Multiple of 9225,1582 with GCF Formula

Least Common Multiple of 9225,1582 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 9225,1582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9225,1582) = 1

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

GCF(9225,1582) x common factors =1 x 1 = 1

LCM(9225,1582) = ( 9225 × 1582 ) / 1

LCM(9225,1582) = 14593950 / 1

LCM(9225,1582) = 14593950


Lets's calculate GCF of 832,766

2 832, 766
416, 383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14593950/2

Therefore the LCM of Fractions 9225/832,1582/766 is 7296975

Greatest Common Factor of 832,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,766 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 832,766 . The biggest common factor number is the GCF number.
So the greatest common factor 832,766 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9225/832, 1582/766

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 9225/832, 1582/766?

Answer: LCM of Numerators as per given numbers 9225/832, 1582/766 is

LCM of Numerators i.e. for 9225,1582 is 14593950

GCF of denominators i.e. for 832,766 is 2.

Thus, LCM of Fractions is 7296975.Finally, LCM of Fractions for 9225/832, 1582/766 is 7296975.