Least Common Multiple of 917/725, 2146/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 917/725, 2146/182 quickly i.e. 1967882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 917/725, 2146/182 is 1967882.

LCM(917/725, 2146/182) = 1967882

LCM of 917/725, 2146/182

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 917/725,2146/182

Given numbers are 917/725,2146/182

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 917,2146

Least Common Multiple of Numerators i.e. LCM of 917,2146 is 1967882.

GCF of Denominators means GCF of 725,182 as per the given fractions.

GCF of 725,182 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 917,2146

LCM of Fractions 917/725,2146/182 is 1967882

Given numbers has no common factors except 1. So, there LCM is their product i.e 1967882

Least Common Multiple of 917,2146 with GCF Formula

Least Common Multiple of 917,2146 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 917,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(917,2146) = 1

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

GCF(917,2146) x common factors =1 x 1 = 1

LCM(917,2146) = ( 917 × 2146 ) / 1

LCM(917,2146) = 1967882 / 1

LCM(917,2146) = 1967882


Lets's calculate GCF of 725,182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1967882/1

Therefore the LCM of Fractions 917/725,2146/182 is 1967882

Greatest Common Factor of 725,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,182 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 725,182 . The biggest common factor number is the GCF number.
So the greatest common factor 725,182 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 917/725, 2146/182

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 917/725, 2146/182?

Answer: LCM of Numerators as per given numbers 917/725, 2146/182 is

LCM of Numerators i.e. for 917,2146 is 1967882

GCF of denominators i.e. for 725,182 is 1.

Thus, LCM of Fractions is 1967882.Finally, LCM of Fractions for 917/725, 2146/182 is 1967882.