Least Common Multiple of 690/15, 558/7835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 690/15, 558/7835 quickly i.e. 12834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 690/15, 558/7835 is 12834.

LCM(690/15, 558/7835) = 12834

LCM of 690/15, 558/7835

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 690/15,558/7835

Given numbers are 690/15,558/7835

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 690,558

Least Common Multiple of Numerators i.e. LCM of 690,558 is 64170.

GCF of Denominators means GCF of 15,7835 as per the given fractions.

GCF of 15,7835 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 690,558

LCM of Fractions 690/15,558/7835 is 12834

2 690, 558
3 345, 279
115, 93

∴ So the LCM of the given numbers is 2 x 3 x 115 x 93 = 64170

Least Common Multiple of 690,558 with GCF Formula

Least Common Multiple of 690,558 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 690,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,558) = 6

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

GCF(690,558) x common factors =6 x 1 = 6

LCM(690,558) = ( 690 × 558 ) / 6

LCM(690,558) = 385020 / 6

LCM(690,558) = 64170


Lets's calculate GCF of 15,7835

5 15, 7835
3, 1567

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64170/5

Therefore the LCM of Fractions 690/15,558/7835 is 12834

Greatest Common Factor of 15,7835 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,7835 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 7835

List of positive integer factors of 7835 that divides 7835 without a remainder.

1,5,1567,7835

Greatest Common Factor

We found the factors 15,7835 . The biggest common factor number is the GCF number.
So the greatest common factor 15,7835 is 5.


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 690/15, 558/7835

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 690/15, 558/7835?

Answer: LCM of Numerators as per given numbers 690/15, 558/7835 is

LCM of Numerators i.e. for 690,558 is 64170

GCF of denominators i.e. for 15,7835 is 5.

Thus, LCM of Fractions is 12834.Finally, LCM of Fractions for 690/15, 558/7835 is 12834.