Least Common Multiple of 3613/700, 2569/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3613/700, 2569/175 quickly i.e. 9281797/175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3613/700, 2569/175 is 9281797/175.

LCM(3613/700, 2569/175) = 9281797/175

LCM of 3613/700, 2569/175

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 3613/700,2569/175

Given numbers are 3613/700,2569/175

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 3613,2569

Least Common Multiple of Numerators i.e. LCM of 3613,2569 is 9281797.

GCF of Denominators means GCF of 700,175 as per the given fractions.

GCF of 700,175 is 175 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3613,2569

LCM of Fractions 3613/700,2569/175 is 9281797/175

Given numbers has no common factors except 1. So, there LCM is their product i.e 9281797

Least Common Multiple of 3613,2569 with GCF Formula

Least Common Multiple of 3613,2569 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 3613,2569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3613,2569) = 1

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

GCF(3613,2569) x common factors =1 x 1 = 1

LCM(3613,2569) = ( 3613 × 2569 ) / 1

LCM(3613,2569) = 9281797 / 1

LCM(3613,2569) = 9281797


Lets's calculate GCF of 700,175

5 700, 175
5 140, 35
7 28, 7
4, 1

∴ So the GCF of the given numbers is 5 x 5 x 7 = 175

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9281797/175

Therefore the LCM of Fractions 3613/700,2569/175 is 9281797/175

Greatest Common Factor of 700,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,175 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 700,175 . The biggest common factor number is the GCF number.
So the greatest common factor 700,175 is 175.


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 3613/700, 2569/175

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 3613/700, 2569/175?

Answer: LCM of Numerators as per given numbers 3613/700, 2569/175 is

LCM of Numerators i.e. for 3613,2569 is 9281797

GCF of denominators i.e. for 700,175 is 175.

Thus, LCM of Fractions is 9281797/175.Finally, LCM of Fractions for 3613/700, 2569/175 is 9281797/175.