Least Common Multiple of 354/80, 561/69, 743/11

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/80, 561/69, 743/11 quickly i.e. 49185114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/80, 561/69, 743/11 is 49185114.

LCM(354/80, 561/69, 743/11) = 49185114

LCM of 354/80, 561/69, 743/11

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 354/80,561/69,743/11

Given numbers are 354/80,561/69,743/11

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 354,561,743

Least Common Multiple of Numerators i.e. LCM of 354,561,743 is 49185114.

GCF of Denominators means GCF of 80,69,11 as per the given fractions.

GCF of 80,69,11 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,561,743

LCM of Fractions 354/80,561/69,743/11 is 49185114

3 354, 561, 743
118, 187, 743

∴ So the LCM of the given numbers is 3 x 118 x 187 x 743 = 49185114

Least Common Multiple of 354,561,743 with GCF Formula

Least Common Multiple of 354,561,743 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 354,561,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,561,743) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(354,561,743) x common factors =1 x 3 = 3

LCM(354,561,743) = ( 354 × 561 × 743 ) / 3

LCM(354,561,743) = 147555342 / 3

LCM(354,561,743) = 49185114


Lets's calculate GCF of 80,69,11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49185114/1

Therefore the LCM of Fractions 354/80,561/69,743/11 is 49185114

Greatest Common Factor of 80,69,11 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,69,11 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Greatest Common Factor

We found the factors 80,69,11 . The biggest common factor number is the GCF number.
So the greatest common factor 80,69,11 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 354/80, 561/69, 743/11

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 354/80, 561/69, 743/11?

Answer: LCM of Numerators as per given numbers 354/80, 561/69, 743/11 is

LCM of Numerators i.e. for 354,561,743 is 49185114

GCF of denominators i.e. for 80,69,11 is 1.

Thus, LCM of Fractions is 49185114.Finally, LCM of Fractions for 354/80, 561/69, 743/11 is 49185114.