Least Common Multiple of 715/630, 943/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 715/630, 943/711 quickly i.e. 674245/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 715/630, 943/711 is 674245/9.

LCM(715/630, 943/711) = 674245/9

LCM of 715/630, 943/711

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 715/630,943/711

Given numbers are 715/630,943/711

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 715,943

Least Common Multiple of Numerators i.e. LCM of 715,943 is 674245.

GCF of Denominators means GCF of 630,711 as per the given fractions.

GCF of 630,711 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 715,943

LCM of Fractions 715/630,943/711 is 674245/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 674245

Least Common Multiple of 715,943 with GCF Formula

Least Common Multiple of 715,943 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 715,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,943) = 1

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

GCF(715,943) x common factors =1 x 1 = 1

LCM(715,943) = ( 715 × 943 ) / 1

LCM(715,943) = 674245 / 1

LCM(715,943) = 674245


Lets's calculate GCF of 630,711

3 630, 711
3 210, 237
70, 79

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 674245/9

Therefore the LCM of Fractions 715/630,943/711 is 674245/9

Greatest Common Factor of 630,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,711 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 630,711 . The biggest common factor number is the GCF number.
So the greatest common factor 630,711 is 9.


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 715/630, 943/711

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 715/630, 943/711?

Answer: LCM of Numerators as per given numbers 715/630, 943/711 is

LCM of Numerators i.e. for 715,943 is 674245

GCF of denominators i.e. for 630,711 is 9.

Thus, LCM of Fractions is 674245/9.Finally, LCM of Fractions for 715/630, 943/711 is 674245/9.