Least Common Multiple of 681/25, 925/7870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 681/25, 925/7870 quickly i.e. 125985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 681/25, 925/7870 is 125985.

LCM(681/25, 925/7870) = 125985

LCM of 681/25, 925/7870

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 681/25,925/7870

Given numbers are 681/25,925/7870

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 681,925

Least Common Multiple of Numerators i.e. LCM of 681,925 is 629925.

GCF of Denominators means GCF of 25,7870 as per the given fractions.

GCF of 25,7870 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 681,925

LCM of Fractions 681/25,925/7870 is 125985

Given numbers has no common factors except 1. So, there LCM is their product i.e 629925

Least Common Multiple of 681,925 with GCF Formula

Least Common Multiple of 681,925 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 681,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,925) = 1

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

GCF(681,925) x common factors =1 x 1 = 1

LCM(681,925) = ( 681 × 925 ) / 1

LCM(681,925) = 629925 / 1

LCM(681,925) = 629925


Lets's calculate GCF of 25,7870

5 25, 7870
5, 1574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 629925/5

Therefore the LCM of Fractions 681/25,925/7870 is 125985

Greatest Common Factor of 25,7870 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,7870 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 7870

List of positive integer factors of 7870 that divides 7870 without a remainder.

1,2,5,10,787,1574,3935,7870

Greatest Common Factor

We found the factors 25,7870 . The biggest common factor number is the GCF number.
So the greatest common factor 25,7870 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 681/25, 925/7870

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 681/25, 925/7870?

Answer: LCM of Numerators as per given numbers 681/25, 925/7870 is

LCM of Numerators i.e. for 681,925 is 629925

GCF of denominators i.e. for 25,7870 is 5.

Thus, LCM of Fractions is 125985.Finally, LCM of Fractions for 681/25, 925/7870 is 125985.