Least Common Multiple of 3694/530, 2017/6976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3694/530, 2017/6976 quickly i.e. 3725399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3694/530, 2017/6976 is 3725399.

LCM(3694/530, 2017/6976) = 3725399

LCM of 3694/530, 2017/6976

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 3694/530,2017/6976

Given numbers are 3694/530,2017/6976

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 3694,2017

Least Common Multiple of Numerators i.e. LCM of 3694,2017 is 7450798.

GCF of Denominators means GCF of 530,6976 as per the given fractions.

GCF of 530,6976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3694,2017

LCM of Fractions 3694/530,2017/6976 is 3725399

Given numbers has no common factors except 1. So, there LCM is their product i.e 7450798

Least Common Multiple of 3694,2017 with GCF Formula

Least Common Multiple of 3694,2017 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 3694,2017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3694,2017) = 1

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

GCF(3694,2017) x common factors =1 x 1 = 1

LCM(3694,2017) = ( 3694 × 2017 ) / 1

LCM(3694,2017) = 7450798 / 1

LCM(3694,2017) = 7450798


Lets's calculate GCF of 530,6976

2 530, 6976
265, 3488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7450798/2

Therefore the LCM of Fractions 3694/530,2017/6976 is 3725399

Greatest Common Factor of 530,6976 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,6976 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976

Greatest Common Factor

We found the factors 530,6976 . The biggest common factor number is the GCF number.
So the greatest common factor 530,6976 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 3694/530, 2017/6976

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 3694/530, 2017/6976?

Answer: LCM of Numerators as per given numbers 3694/530, 2017/6976 is

LCM of Numerators i.e. for 3694,2017 is 7450798

GCF of denominators i.e. for 530,6976 is 2.

Thus, LCM of Fractions is 3725399.Finally, LCM of Fractions for 3694/530, 2017/6976 is 3725399.