Least Common Multiple of 2797/346, 1857/8972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2797/346, 1857/8972 quickly i.e. 5194029/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2797/346, 1857/8972 is 5194029/2.

LCM(2797/346, 1857/8972) = 5194029/2

LCM of 2797/346, 1857/8972

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 2797/346,1857/8972

Given numbers are 2797/346,1857/8972

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 2797,1857

Least Common Multiple of Numerators i.e. LCM of 2797,1857 is 5194029.

GCF of Denominators means GCF of 346,8972 as per the given fractions.

GCF of 346,8972 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2797,1857

LCM of Fractions 2797/346,1857/8972 is 5194029/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 5194029

Least Common Multiple of 2797,1857 with GCF Formula

Least Common Multiple of 2797,1857 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 2797,1857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2797,1857) = 1

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

GCF(2797,1857) x common factors =1 x 1 = 1

LCM(2797,1857) = ( 2797 × 1857 ) / 1

LCM(2797,1857) = 5194029 / 1

LCM(2797,1857) = 5194029


Lets's calculate GCF of 346,8972

2 346, 8972
173, 4486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5194029/2

Therefore the LCM of Fractions 2797/346,1857/8972 is 5194029/2

Greatest Common Factor of 346,8972 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,8972 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1,2,4,2243,4486,8972

Greatest Common Factor

We found the factors 346,8972 . The biggest common factor number is the GCF number.
So the greatest common factor 346,8972 is 2.


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 2797/346, 1857/8972

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 2797/346, 1857/8972?

Answer: LCM of Numerators as per given numbers 2797/346, 1857/8972 is

LCM of Numerators i.e. for 2797,1857 is 5194029

GCF of denominators i.e. for 346,8972 is 2.

Thus, LCM of Fractions is 5194029/2.Finally, LCM of Fractions for 2797/346, 1857/8972 is 5194029/2.