Least Common Multiple of 6376/825, 3492/9459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6376/825, 3492/9459 quickly i.e. 1855416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6376/825, 3492/9459 is 1855416.

LCM(6376/825, 3492/9459) = 1855416

LCM of 6376/825, 3492/9459

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 6376/825,3492/9459

Given numbers are 6376/825,3492/9459

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 6376,3492

Least Common Multiple of Numerators i.e. LCM of 6376,3492 is 5566248.

GCF of Denominators means GCF of 825,9459 as per the given fractions.

GCF of 825,9459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6376,3492

LCM of Fractions 6376/825,3492/9459 is 1855416

2 6376, 3492
2 3188, 1746
1594, 873

∴ So the LCM of the given numbers is 2 x 2 x 1594 x 873 = 5566248

Least Common Multiple of 6376,3492 with GCF Formula

Least Common Multiple of 6376,3492 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 6376,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6376,3492) = 4

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

GCF(6376,3492) x common factors =4 x 1 = 4

LCM(6376,3492) = ( 6376 × 3492 ) / 4

LCM(6376,3492) = 22264992 / 4

LCM(6376,3492) = 5566248


Lets's calculate GCF of 825,9459

3 825, 9459
275, 3153

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5566248/3

Therefore the LCM of Fractions 6376/825,3492/9459 is 1855416

Greatest Common Factor of 825,9459 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,9459 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 9459

List of positive integer factors of 9459 that divides 9459 without a remainder.

1,3,9,1051,3153,9459

Greatest Common Factor

We found the factors 825,9459 . The biggest common factor number is the GCF number.
So the greatest common factor 825,9459 is 3.


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 6376/825, 3492/9459

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 6376/825, 3492/9459?

Answer: LCM of Numerators as per given numbers 6376/825, 3492/9459 is

LCM of Numerators i.e. for 6376,3492 is 5566248

GCF of denominators i.e. for 825,9459 is 3.

Thus, LCM of Fractions is 1855416.Finally, LCM of Fractions for 6376/825, 3492/9459 is 1855416.