Least Common Multiple of 690/617, 6959/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 690/617, 6959/798 quickly i.e. 4801710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/617, 6959/798 is 4801710.

LCM(690/617, 6959/798) = 4801710

LCM of 690/617, 6959/798

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 690/617,6959/798

Given numbers are 690/617,6959/798

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 690,6959

Least Common Multiple of Numerators i.e. LCM of 690,6959 is 4801710.

GCF of Denominators means GCF of 617,798 as per the given fractions.

GCF of 617,798 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,6959

LCM of Fractions 690/617,6959/798 is 4801710

Given numbers has no common factors except 1. So, there LCM is their product i.e 4801710

Least Common Multiple of 690,6959 with GCF Formula

Least Common Multiple of 690,6959 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 690,6959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,6959) = 1

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

GCF(690,6959) x common factors =1 x 1 = 1

LCM(690,6959) = ( 690 × 6959 ) / 1

LCM(690,6959) = 4801710 / 1

LCM(690,6959) = 4801710


Lets's calculate GCF of 617,798

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4801710/1

Therefore the LCM of Fractions 690/617,6959/798 is 4801710

Greatest Common Factor of 617,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,798 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 617,798 . The biggest common factor number is the GCF number.
So the greatest common factor 617,798 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 690/617, 6959/798

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 690/617, 6959/798?

Answer: LCM of Numerators as per given numbers 690/617, 6959/798 is

LCM of Numerators i.e. for 690,6959 is 4801710

GCF of denominators i.e. for 617,798 is 1.

Thus, LCM of Fractions is 4801710.Finally, LCM of Fractions for 690/617, 6959/798 is 4801710.