Least Common Multiple of 9196/131, 9123/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9196/131, 9123/889 quickly i.e. 83895108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9196/131, 9123/889 is 83895108.

LCM(9196/131, 9123/889) = 83895108

LCM of 9196/131, 9123/889

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 9196/131,9123/889

Given numbers are 9196/131,9123/889

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 9196,9123

Least Common Multiple of Numerators i.e. LCM of 9196,9123 is 83895108.

GCF of Denominators means GCF of 131,889 as per the given fractions.

GCF of 131,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9196,9123

LCM of Fractions 9196/131,9123/889 is 83895108

Given numbers has no common factors except 1. So, there LCM is their product i.e 83895108

Least Common Multiple of 9196,9123 with GCF Formula

Least Common Multiple of 9196,9123 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 9196,9123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9196,9123) = 1

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

GCF(9196,9123) x common factors =1 x 1 = 1

LCM(9196,9123) = ( 9196 × 9123 ) / 1

LCM(9196,9123) = 83895108 / 1

LCM(9196,9123) = 83895108


Lets's calculate GCF of 131,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83895108/1

Therefore the LCM of Fractions 9196/131,9123/889 is 83895108

Greatest Common Factor of 131,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,889 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 131,889 . The biggest common factor number is the GCF number.
So the greatest common factor 131,889 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9196/131, 9123/889

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 9196/131, 9123/889?

Answer: LCM of Numerators as per given numbers 9196/131, 9123/889 is

LCM of Numerators i.e. for 9196,9123 is 83895108

GCF of denominators i.e. for 131,889 is 1.

Thus, LCM of Fractions is 83895108.Finally, LCM of Fractions for 9196/131, 9123/889 is 83895108.