Least Common Multiple of 9110/103, 7616/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9110/103, 7616/427 quickly i.e. 34690880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9110/103, 7616/427 is 34690880.

LCM(9110/103, 7616/427) = 34690880

LCM of 9110/103, 7616/427

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 9110/103,7616/427

Given numbers are 9110/103,7616/427

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 9110,7616

Least Common Multiple of Numerators i.e. LCM of 9110,7616 is 34690880.

GCF of Denominators means GCF of 103,427 as per the given fractions.

GCF of 103,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9110,7616

LCM of Fractions 9110/103,7616/427 is 34690880

2 9110, 7616
4555, 3808

∴ So the LCM of the given numbers is 2 x 4555 x 3808 = 34690880

Least Common Multiple of 9110,7616 with GCF Formula

Least Common Multiple of 9110,7616 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 9110,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9110,7616) = 2

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

GCF(9110,7616) x common factors =2 x 1 = 2

LCM(9110,7616) = ( 9110 × 7616 ) / 2

LCM(9110,7616) = 69381760 / 2

LCM(9110,7616) = 34690880


Lets's calculate GCF of 103,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34690880/1

Therefore the LCM of Fractions 9110/103,7616/427 is 34690880

Greatest Common Factor of 103,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 103,427 By Matching Biggest Common Factor Method

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 103,427 . The biggest common factor number is the GCF number.
So the greatest common factor 103,427 is 1.


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 9110/103, 7616/427

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 9110/103, 7616/427?

Answer: LCM of Numerators as per given numbers 9110/103, 7616/427 is

LCM of Numerators i.e. for 9110,7616 is 34690880

GCF of denominators i.e. for 103,427 is 1.

Thus, LCM of Fractions is 34690880.Finally, LCM of Fractions for 9110/103, 7616/427 is 34690880.