Least Common Multiple of 712/751, 899/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 712/751, 899/566 quickly i.e. 640088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/751, 899/566 is 640088.

LCM(712/751, 899/566) = 640088

LCM of 712/751, 899/566

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 712/751,899/566

Given numbers are 712/751,899/566

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 712,899

Least Common Multiple of Numerators i.e. LCM of 712,899 is 640088.

GCF of Denominators means GCF of 751,566 as per the given fractions.

GCF of 751,566 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,899

LCM of Fractions 712/751,899/566 is 640088

Given numbers has no common factors except 1. So, there LCM is their product i.e 640088

Least Common Multiple of 712,899 with GCF Formula

Least Common Multiple of 712,899 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 712,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,899) = 1

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

GCF(712,899) x common factors =1 x 1 = 1

LCM(712,899) = ( 712 × 899 ) / 1

LCM(712,899) = 640088 / 1

LCM(712,899) = 640088


Lets's calculate GCF of 751,566

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 640088/1

Therefore the LCM of Fractions 712/751,899/566 is 640088

Greatest Common Factor of 751,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,566 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 751,566 . The biggest common factor number is the GCF number.
So the greatest common factor 751,566 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 712/751, 899/566

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 712/751, 899/566?

Answer: LCM of Numerators as per given numbers 712/751, 899/566 is

LCM of Numerators i.e. for 712,899 is 640088

GCF of denominators i.e. for 751,566 is 1.

Thus, LCM of Fractions is 640088.Finally, LCM of Fractions for 712/751, 899/566 is 640088.