Least Common Multiple of 43/60, 18/10, 299/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 43/60, 18/10, 299/919 quickly i.e. 231426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/60, 18/10, 299/919 is 231426.

LCM(43/60, 18/10, 299/919) = 231426

LCM of 43/60, 18/10, 299/919

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 43/60,18/10,299/919

Given numbers are 43/60,18/10,299/919

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 43,18,299

Least Common Multiple of Numerators i.e. LCM of 43,18,299 is 231426.

GCF of Denominators means GCF of 60,10,919 as per the given fractions.

GCF of 60,10,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,18,299

LCM of Fractions 43/60,18/10,299/919 is 231426

Given numbers has no common factors except 1. So, there LCM is their product i.e 231426

Least Common Multiple of 43,18,299 with GCF Formula

Least Common Multiple of 43,18,299 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 43,18,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,18,299) = 1

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

GCF(43,18,299) x common factors =1 x 1 = 1

LCM(43,18,299) = ( 43 × 18 × 299 ) / 1

LCM(43,18,299) = 231426 / 1

LCM(43,18,299) = 231426


Lets's calculate GCF of 60,10,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231426/1

Therefore the LCM of Fractions 43/60,18/10,299/919 is 231426

Greatest Common Factor of 60,10,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,10,919 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 60,10,919 . The biggest common factor number is the GCF number.
So the greatest common factor 60,10,919 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 43/60, 18/10, 299/919

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 43/60, 18/10, 299/919?

Answer: LCM of Numerators as per given numbers 43/60, 18/10, 299/919 is

LCM of Numerators i.e. for 43,18,299 is 231426

GCF of denominators i.e. for 60,10,919 is 1.

Thus, LCM of Fractions is 231426.Finally, LCM of Fractions for 43/60, 18/10, 299/919 is 231426.