Least Common Multiple of 743/890, 9156/1958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 743/890, 9156/1958 quickly i.e. 6802908/178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 743/890, 9156/1958 is 6802908/178.

LCM(743/890, 9156/1958) = 6802908/178

LCM of 743/890, 9156/1958

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 743/890,9156/1958

Given numbers are 743/890,9156/1958

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 743,9156

Least Common Multiple of Numerators i.e. LCM of 743,9156 is 6802908.

GCF of Denominators means GCF of 890,1958 as per the given fractions.

GCF of 890,1958 is 178 as it is the largest common factor for these numbers.

Lets's calculate LCM of 743,9156

LCM of Fractions 743/890,9156/1958 is 6802908/178

Given numbers has no common factors except 1. So, there LCM is their product i.e 6802908

Least Common Multiple of 743,9156 with GCF Formula

Least Common Multiple of 743,9156 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 743,9156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,9156) = 1

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

GCF(743,9156) x common factors =1 x 1 = 1

LCM(743,9156) = ( 743 × 9156 ) / 1

LCM(743,9156) = 6802908 / 1

LCM(743,9156) = 6802908


Lets's calculate GCF of 890,1958

2 890, 1958
89 445, 979
5, 11

∴ So the GCF of the given numbers is 2 x 89 = 178

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6802908/178

Therefore the LCM of Fractions 743/890,9156/1958 is 6802908/178

Greatest Common Factor of 890,1958 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,1958 By Matching Biggest Common Factor Method

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Factors of 1958

List of positive integer factors of 1958 that divides 1958 without a remainder.

1,2,11,22,89,178,979,1958

Greatest Common Factor

We found the factors 890,1958 . The biggest common factor number is the GCF number.
So the greatest common factor 890,1958 is 178.


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 743/890, 9156/1958

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 743/890, 9156/1958?

Answer: LCM of Numerators as per given numbers 743/890, 9156/1958 is

LCM of Numerators i.e. for 743,9156 is 6802908

GCF of denominators i.e. for 890,1958 is 178.

Thus, LCM of Fractions is 6802908/178.Finally, LCM of Fractions for 743/890, 9156/1958 is 6802908/178.