Least Common Multiple of 2674/583, 7049/7175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2674/583, 7049/7175 quickly i.e. 2692718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2674/583, 7049/7175 is 2692718.

LCM(2674/583, 7049/7175) = 2692718

LCM of 2674/583, 7049/7175

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 2674/583,7049/7175

Given numbers are 2674/583,7049/7175

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 2674,7049

Least Common Multiple of Numerators i.e. LCM of 2674,7049 is 2692718.

GCF of Denominators means GCF of 583,7175 as per the given fractions.

GCF of 583,7175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2674,7049

LCM of Fractions 2674/583,7049/7175 is 2692718

7 2674, 7049
382, 1007

∴ So the LCM of the given numbers is 7 x 382 x 1007 = 2692718

Least Common Multiple of 2674,7049 with GCF Formula

Least Common Multiple of 2674,7049 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 2674,7049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2674,7049) = 7

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

GCF(2674,7049) x common factors =7 x 1 = 7

LCM(2674,7049) = ( 2674 × 7049 ) / 7

LCM(2674,7049) = 18849026 / 7

LCM(2674,7049) = 2692718


Lets's calculate GCF of 583,7175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2692718/1

Therefore the LCM of Fractions 2674/583,7049/7175 is 2692718

Greatest Common Factor of 583,7175 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,7175 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 7175

List of positive integer factors of 7175 that divides 7175 without a remainder.

1,5,7,25,35,41,175,205,287,1025,1435,7175

Greatest Common Factor

We found the factors 583,7175 . The biggest common factor number is the GCF number.
So the greatest common factor 583,7175 is 1.


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 2674/583, 7049/7175

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 2674/583, 7049/7175?

Answer: LCM of Numerators as per given numbers 2674/583, 7049/7175 is

LCM of Numerators i.e. for 2674,7049 is 2692718

GCF of denominators i.e. for 583,7175 is 1.

Thus, LCM of Fractions is 2692718.Finally, LCM of Fractions for 2674/583, 7049/7175 is 2692718.