Least Common Multiple of 8374/690, 3925/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8374/690, 3925/253 quickly i.e. 32867950/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8374/690, 3925/253 is 32867950/23.

LCM(8374/690, 3925/253) = 32867950/23

LCM of 8374/690, 3925/253

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 8374/690,3925/253

Given numbers are 8374/690,3925/253

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 8374,3925

Least Common Multiple of Numerators i.e. LCM of 8374,3925 is 32867950.

GCF of Denominators means GCF of 690,253 as per the given fractions.

GCF of 690,253 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8374,3925

LCM of Fractions 8374/690,3925/253 is 32867950/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 32867950

Least Common Multiple of 8374,3925 with GCF Formula

Least Common Multiple of 8374,3925 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 8374,3925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8374,3925) = 1

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

GCF(8374,3925) x common factors =1 x 1 = 1

LCM(8374,3925) = ( 8374 × 3925 ) / 1

LCM(8374,3925) = 32867950 / 1

LCM(8374,3925) = 32867950


Lets's calculate GCF of 690,253

23 690, 253
30, 11

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32867950/23

Therefore the LCM of Fractions 8374/690,3925/253 is 32867950/23

Greatest Common Factor of 690,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,253 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 690,253 . The biggest common factor number is the GCF number.
So the greatest common factor 690,253 is 23.


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 8374/690, 3925/253

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 8374/690, 3925/253?

Answer: LCM of Numerators as per given numbers 8374/690, 3925/253 is

LCM of Numerators i.e. for 8374,3925 is 32867950

GCF of denominators i.e. for 690,253 is 23.

Thus, LCM of Fractions is 32867950/23.Finally, LCM of Fractions for 8374/690, 3925/253 is 32867950/23.