Least Common Multiple of 565/99, 926/71, 454/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 565/99, 926/71, 454/346 quickly i.e. 118764130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 565/99, 926/71, 454/346 is 118764130.

LCM(565/99, 926/71, 454/346) = 118764130

LCM of 565/99, 926/71, 454/346

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 565/99,926/71,454/346

Given numbers are 565/99,926/71,454/346

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 565,926,454

Least Common Multiple of Numerators i.e. LCM of 565,926,454 is 118764130.

GCF of Denominators means GCF of 99,71,346 as per the given fractions.

GCF of 99,71,346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 565,926,454

LCM of Fractions 565/99,926/71,454/346 is 118764130

2 565, 926, 454
565, 463, 227

∴ So the LCM of the given numbers is 2 x 565 x 463 x 227 = 118764130

Least Common Multiple of 565,926,454 with GCF Formula

Least Common Multiple of 565,926,454 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 565,926,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(565,926,454) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(565,926,454) x common factors =1 x 2 = 2

LCM(565,926,454) = ( 565 × 926 × 454 ) / 2

LCM(565,926,454) = 237528260 / 2

LCM(565,926,454) = 118764130


Lets's calculate GCF of 99,71,346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118764130/1

Therefore the LCM of Fractions 565/99,926/71,454/346 is 118764130

Greatest Common Factor of 99,71,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,71,346 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 99,71,346 . The biggest common factor number is the GCF number.
So the greatest common factor 99,71,346 is 1.


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Frequently Asked Questions on Fractional LCM of 565/99, 926/71, 454/346

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 565/99, 926/71, 454/346?

Answer: LCM of Numerators as per given numbers 565/99, 926/71, 454/346 is

LCM of Numerators i.e. for 565,926,454 is 118764130

GCF of denominators i.e. for 99,71,346 is 1.

Thus, LCM of Fractions is 118764130.Finally, LCM of Fractions for 565/99, 926/71, 454/346 is 118764130.