Least Common Multiple of 43/22, 51/29, 518/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/22, 51/29, 518/410 quickly i.e. 1135974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/22, 51/29, 518/410 is 1135974.

LCM(43/22, 51/29, 518/410) = 1135974

LCM of 43/22, 51/29, 518/410

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 43/22,51/29,518/410

Given numbers are 43/22,51/29,518/410

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 43,51,518

Least Common Multiple of Numerators i.e. LCM of 43,51,518 is 1135974.

GCF of Denominators means GCF of 22,29,410 as per the given fractions.

GCF of 22,29,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,51,518

LCM of Fractions 43/22,51/29,518/410 is 1135974

Given numbers has no common factors except 1. So, there LCM is their product i.e 1135974

Least Common Multiple of 43,51,518 with GCF Formula

Least Common Multiple of 43,51,518 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 43,51,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,51,518) = 1

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

GCF(43,51,518) x common factors =1 x 1 = 1

LCM(43,51,518) = ( 43 × 51 × 518 ) / 1

LCM(43,51,518) = 1135974 / 1

LCM(43,51,518) = 1135974


Lets's calculate GCF of 22,29,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1135974/1

Therefore the LCM of Fractions 43/22,51/29,518/410 is 1135974

Greatest Common Factor of 22,29,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,29,410 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 22,29,410 . The biggest common factor number is the GCF number.
So the greatest common factor 22,29,410 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/22, 51/29, 518/410

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 43/22, 51/29, 518/410?

Answer: LCM of Numerators as per given numbers 43/22, 51/29, 518/410 is

LCM of Numerators i.e. for 43,51,518 is 1135974

GCF of denominators i.e. for 22,29,410 is 1.

Thus, LCM of Fractions is 1135974.Finally, LCM of Fractions for 43/22, 51/29, 518/410 is 1135974.