Least Common Multiple of 6174/352, 8014/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6174/352, 8014/825 quickly i.e. 24739218/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6174/352, 8014/825 is 24739218/11.

LCM(6174/352, 8014/825) = 24739218/11

LCM of 6174/352, 8014/825

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 6174/352,8014/825

Given numbers are 6174/352,8014/825

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 6174,8014

Least Common Multiple of Numerators i.e. LCM of 6174,8014 is 24739218.

GCF of Denominators means GCF of 352,825 as per the given fractions.

GCF of 352,825 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6174,8014

LCM of Fractions 6174/352,8014/825 is 24739218/11

2 6174, 8014
3087, 4007

∴ So the LCM of the given numbers is 2 x 3087 x 4007 = 24739218

Least Common Multiple of 6174,8014 with GCF Formula

Least Common Multiple of 6174,8014 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 6174,8014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6174,8014) = 2

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

GCF(6174,8014) x common factors =2 x 1 = 2

LCM(6174,8014) = ( 6174 × 8014 ) / 2

LCM(6174,8014) = 49478436 / 2

LCM(6174,8014) = 24739218


Lets's calculate GCF of 352,825

11 352, 825
32, 75

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24739218/11

Therefore the LCM of Fractions 6174/352,8014/825 is 24739218/11

Greatest Common Factor of 352,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,825 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

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

Greatest Common Factor

We found the factors 352,825 . The biggest common factor number is the GCF number.
So the greatest common factor 352,825 is 11.


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 6174/352, 8014/825

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 6174/352, 8014/825?

Answer: LCM of Numerators as per given numbers 6174/352, 8014/825 is

LCM of Numerators i.e. for 6174,8014 is 24739218

GCF of denominators i.e. for 352,825 is 11.

Thus, LCM of Fractions is 24739218/11.Finally, LCM of Fractions for 6174/352, 8014/825 is 24739218/11.