Least Common Multiple of 76/732, 9618/1712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/732, 9618/1712 quickly i.e. 91371 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/732, 9618/1712 is 91371.

LCM(76/732, 9618/1712) = 91371

LCM of 76/732, 9618/1712

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 76/732,9618/1712

Given numbers are 76/732,9618/1712

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 76,9618

Least Common Multiple of Numerators i.e. LCM of 76,9618 is 365484.

GCF of Denominators means GCF of 732,1712 as per the given fractions.

GCF of 732,1712 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,9618

LCM of Fractions 76/732,9618/1712 is 91371

2 76, 9618
38, 4809

∴ So the LCM of the given numbers is 2 x 38 x 4809 = 365484

Least Common Multiple of 76,9618 with GCF Formula

Least Common Multiple of 76,9618 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 76,9618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,9618) = 2

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

GCF(76,9618) x common factors =2 x 1 = 2

LCM(76,9618) = ( 76 × 9618 ) / 2

LCM(76,9618) = 730968 / 2

LCM(76,9618) = 365484


Lets's calculate GCF of 732,1712

2 732, 1712
2 366, 856
183, 428

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365484/4

Therefore the LCM of Fractions 76/732,9618/1712 is 91371

Greatest Common Factor of 732,1712 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,1712 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1,2,4,8,16,107,214,428,856,1712

Greatest Common Factor

We found the factors 732,1712 . The biggest common factor number is the GCF number.
So the greatest common factor 732,1712 is 4.


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 76/732, 9618/1712

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 76/732, 9618/1712?

Answer: LCM of Numerators as per given numbers 76/732, 9618/1712 is

LCM of Numerators i.e. for 76,9618 is 365484

GCF of denominators i.e. for 732,1712 is 4.

Thus, LCM of Fractions is 91371.Finally, LCM of Fractions for 76/732, 9618/1712 is 91371.