Least Common Multiple of 7466/918, 7746/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7466/918, 7746/662 quickly i.e. 14457909 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7466/918, 7746/662 is 14457909.

LCM(7466/918, 7746/662) = 14457909

LCM of 7466/918, 7746/662

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 7466/918,7746/662

Given numbers are 7466/918,7746/662

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 7466,7746

Least Common Multiple of Numerators i.e. LCM of 7466,7746 is 28915818.

GCF of Denominators means GCF of 918,662 as per the given fractions.

GCF of 918,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7466,7746

LCM of Fractions 7466/918,7746/662 is 14457909

2 7466, 7746
3733, 3873

∴ So the LCM of the given numbers is 2 x 3733 x 3873 = 28915818

Least Common Multiple of 7466,7746 with GCF Formula

Least Common Multiple of 7466,7746 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 7466,7746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7466,7746) = 2

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

GCF(7466,7746) x common factors =2 x 1 = 2

LCM(7466,7746) = ( 7466 × 7746 ) / 2

LCM(7466,7746) = 57831636 / 2

LCM(7466,7746) = 28915818


Lets's calculate GCF of 918,662

2 918, 662
459, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28915818/2

Therefore the LCM of Fractions 7466/918,7746/662 is 14457909

Greatest Common Factor of 918,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,662 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 918,662 . The biggest common factor number is the GCF number.
So the greatest common factor 918,662 is 2.


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 7466/918, 7746/662

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 7466/918, 7746/662?

Answer: LCM of Numerators as per given numbers 7466/918, 7746/662 is

LCM of Numerators i.e. for 7466,7746 is 28915818

GCF of denominators i.e. for 918,662 is 2.

Thus, LCM of Fractions is 14457909.Finally, LCM of Fractions for 7466/918, 7746/662 is 14457909.