Least Common Multiple of 875/727, 707/425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 875/727, 707/425 quickly i.e. 88375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 875/727, 707/425 is 88375.

LCM(875/727, 707/425) = 88375

LCM of 875/727, 707/425

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 875/727,707/425

Given numbers are 875/727,707/425

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 875,707

Least Common Multiple of Numerators i.e. LCM of 875,707 is 88375.

GCF of Denominators means GCF of 727,425 as per the given fractions.

GCF of 727,425 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 875,707

LCM of Fractions 875/727,707/425 is 88375

7 875, 707
125, 101

∴ So the LCM of the given numbers is 7 x 125 x 101 = 88375

Least Common Multiple of 875,707 with GCF Formula

Least Common Multiple of 875,707 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 875,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,707) = 7

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

GCF(875,707) x common factors =7 x 1 = 7

LCM(875,707) = ( 875 × 707 ) / 7

LCM(875,707) = 618625 / 7

LCM(875,707) = 88375


Lets's calculate GCF of 727,425

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88375/1

Therefore the LCM of Fractions 875/727,707/425 is 88375

Greatest Common Factor of 727,425 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,425 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Greatest Common Factor

We found the factors 727,425 . The biggest common factor number is the GCF number.
So the greatest common factor 727,425 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 875/727, 707/425

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 875/727, 707/425?

Answer: LCM of Numerators as per given numbers 875/727, 707/425 is

LCM of Numerators i.e. for 875,707 is 88375

GCF of denominators i.e. for 727,425 is 1.

Thus, LCM of Fractions is 88375.Finally, LCM of Fractions for 875/727, 707/425 is 88375.