Least Common Multiple of 771/825, 679/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 771/825, 679/458 quickly i.e. 523509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 771/825, 679/458 is 523509.

LCM(771/825, 679/458) = 523509

LCM of 771/825, 679/458

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 771/825,679/458

Given numbers are 771/825,679/458

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 771,679

Least Common Multiple of Numerators i.e. LCM of 771,679 is 523509.

GCF of Denominators means GCF of 825,458 as per the given fractions.

GCF of 825,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 771,679

LCM of Fractions 771/825,679/458 is 523509

Given numbers has no common factors except 1. So, there LCM is their product i.e 523509

Least Common Multiple of 771,679 with GCF Formula

Least Common Multiple of 771,679 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 771,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,679) = 1

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

GCF(771,679) x common factors =1 x 1 = 1

LCM(771,679) = ( 771 × 679 ) / 1

LCM(771,679) = 523509 / 1

LCM(771,679) = 523509


Lets's calculate GCF of 825,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523509/1

Therefore the LCM of Fractions 771/825,679/458 is 523509

Greatest Common Factor of 825,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,458 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 825,458 . The biggest common factor number is the GCF number.
So the greatest common factor 825,458 is 1.


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 771/825, 679/458

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 771/825, 679/458?

Answer: LCM of Numerators as per given numbers 771/825, 679/458 is

LCM of Numerators i.e. for 771,679 is 523509

GCF of denominators i.e. for 825,458 is 1.

Thus, LCM of Fractions is 523509.Finally, LCM of Fractions for 771/825, 679/458 is 523509.