Least Common Multiple of 784/652, 671/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 784/652, 671/634 quickly i.e. 263032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/652, 671/634 is 263032.

LCM(784/652, 671/634) = 263032

LCM of 784/652, 671/634

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 784/652,671/634

Given numbers are 784/652,671/634

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 784,671

Least Common Multiple of Numerators i.e. LCM of 784,671 is 526064.

GCF of Denominators means GCF of 652,634 as per the given fractions.

GCF of 652,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,671

LCM of Fractions 784/652,671/634 is 263032

Given numbers has no common factors except 1. So, there LCM is their product i.e 526064

Least Common Multiple of 784,671 with GCF Formula

Least Common Multiple of 784,671 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 784,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,671) = 1

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

GCF(784,671) x common factors =1 x 1 = 1

LCM(784,671) = ( 784 × 671 ) / 1

LCM(784,671) = 526064 / 1

LCM(784,671) = 526064


Lets's calculate GCF of 652,634

2 652, 634
326, 317

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526064/2

Therefore the LCM of Fractions 784/652,671/634 is 263032

Greatest Common Factor of 652,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 652,634 By Matching Biggest Common Factor Method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 652,634 . The biggest common factor number is the GCF number.
So the greatest common factor 652,634 is 2.


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 784/652, 671/634

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 784/652, 671/634?

Answer: LCM of Numerators as per given numbers 784/652, 671/634 is

LCM of Numerators i.e. for 784,671 is 526064

GCF of denominators i.e. for 652,634 is 2.

Thus, LCM of Fractions is 263032.Finally, LCM of Fractions for 784/652, 671/634 is 263032.