Least Common Multiple of 698/131, 2675/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/131, 2675/405 quickly i.e. 1867150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/131, 2675/405 is 1867150.

LCM(698/131, 2675/405) = 1867150

LCM of 698/131, 2675/405

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 698/131,2675/405

Given numbers are 698/131,2675/405

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 698,2675

Least Common Multiple of Numerators i.e. LCM of 698,2675 is 1867150.

GCF of Denominators means GCF of 131,405 as per the given fractions.

GCF of 131,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,2675

LCM of Fractions 698/131,2675/405 is 1867150

Given numbers has no common factors except 1. So, there LCM is their product i.e 1867150

Least Common Multiple of 698,2675 with GCF Formula

Least Common Multiple of 698,2675 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 698,2675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,2675) = 1

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

GCF(698,2675) x common factors =1 x 1 = 1

LCM(698,2675) = ( 698 × 2675 ) / 1

LCM(698,2675) = 1867150 / 1

LCM(698,2675) = 1867150


Lets's calculate GCF of 131,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1867150/1

Therefore the LCM of Fractions 698/131,2675/405 is 1867150

Greatest Common Factor of 131,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,405 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 131,405 . The biggest common factor number is the GCF number.
So the greatest common factor 131,405 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 698/131, 2675/405

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 698/131, 2675/405?

Answer: LCM of Numerators as per given numbers 698/131, 2675/405 is

LCM of Numerators i.e. for 698,2675 is 1867150

GCF of denominators i.e. for 131,405 is 1.

Thus, LCM of Fractions is 1867150.Finally, LCM of Fractions for 698/131, 2675/405 is 1867150.