Least Common Multiple of 574/710, 747/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 574/710, 747/994 quickly i.e. 428778/142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 574/710, 747/994 is 428778/142.

LCM(574/710, 747/994) = 428778/142

LCM of 574/710, 747/994

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 574/710,747/994

Given numbers are 574/710,747/994

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 574,747

Least Common Multiple of Numerators i.e. LCM of 574,747 is 428778.

GCF of Denominators means GCF of 710,994 as per the given fractions.

GCF of 710,994 is 142 as it is the largest common factor for these numbers.

Lets's calculate LCM of 574,747

LCM of Fractions 574/710,747/994 is 428778/142

Given numbers has no common factors except 1. So, there LCM is their product i.e 428778

Least Common Multiple of 574,747 with GCF Formula

Least Common Multiple of 574,747 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 574,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,747) = 1

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

GCF(574,747) x common factors =1 x 1 = 1

LCM(574,747) = ( 574 × 747 ) / 1

LCM(574,747) = 428778 / 1

LCM(574,747) = 428778


Lets's calculate GCF of 710,994

2 710, 994
71 355, 497
5, 7

∴ So the GCF of the given numbers is 2 x 71 = 142

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428778/142

Therefore the LCM of Fractions 574/710,747/994 is 428778/142

Greatest Common Factor of 710,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,994 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 710,994 . The biggest common factor number is the GCF number.
So the greatest common factor 710,994 is 142.


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 574/710, 747/994

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 574/710, 747/994?

Answer: LCM of Numerators as per given numbers 574/710, 747/994 is

LCM of Numerators i.e. for 574,747 is 428778

GCF of denominators i.e. for 710,994 is 142.

Thus, LCM of Fractions is 428778/142.Finally, LCM of Fractions for 574/710, 747/994 is 428778/142.