Least Common Multiple of 943/26, 217/12, 798/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 943/26, 217/12, 798/298 quickly i.e. 11663967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 943/26, 217/12, 798/298 is 11663967.

LCM(943/26, 217/12, 798/298) = 11663967

LCM of 943/26, 217/12, 798/298

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 943/26,217/12,798/298

Given numbers are 943/26,217/12,798/298

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 943,217,798

Least Common Multiple of Numerators i.e. LCM of 943,217,798 is 23327934.

GCF of Denominators means GCF of 26,12,298 as per the given fractions.

GCF of 26,12,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 943,217,798

LCM of Fractions 943/26,217/12,798/298 is 11663967

7 943, 217, 798
943, 31, 114

∴ So the LCM of the given numbers is 7 x 943 x 31 x 114 = 23327934

Least Common Multiple of 943,217,798 with GCF Formula

Least Common Multiple of 943,217,798 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 943,217,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,217,798) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(943,217,798) x common factors =1 x 7 = 7

LCM(943,217,798) = ( 943 × 217 × 798 ) / 7

LCM(943,217,798) = 163295538 / 7

LCM(943,217,798) = 23327934


Lets's calculate GCF of 26,12,298

2 26, 12, 298
13, 6, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23327934/2

Therefore the LCM of Fractions 943/26,217/12,798/298 is 11663967

Greatest Common Factor of 26,12,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,12,298 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 26,12,298 . The biggest common factor number is the GCF number.
So the greatest common factor 26,12,298 is 2.


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Frequently Asked Questions on Fractional LCM of 943/26, 217/12, 798/298

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 943/26, 217/12, 798/298?

Answer: LCM of Numerators as per given numbers 943/26, 217/12, 798/298 is

LCM of Numerators i.e. for 943,217,798 is 23327934

GCF of denominators i.e. for 26,12,298 is 2.

Thus, LCM of Fractions is 11663967.Finally, LCM of Fractions for 943/26, 217/12, 798/298 is 11663967.