Least Common Multiple of 3296/972, 6426/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3296/972, 6426/765 quickly i.e. 1176672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3296/972, 6426/765 is 1176672.

LCM(3296/972, 6426/765) = 1176672

LCM of 3296/972, 6426/765

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 3296/972,6426/765

Given numbers are 3296/972,6426/765

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 3296,6426

Least Common Multiple of Numerators i.e. LCM of 3296,6426 is 10590048.

GCF of Denominators means GCF of 972,765 as per the given fractions.

GCF of 972,765 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3296,6426

LCM of Fractions 3296/972,6426/765 is 1176672

2 3296, 6426
1648, 3213

∴ So the LCM of the given numbers is 2 x 1648 x 3213 = 10590048

Least Common Multiple of 3296,6426 with GCF Formula

Least Common Multiple of 3296,6426 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 3296,6426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3296,6426) = 2

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

GCF(3296,6426) x common factors =2 x 1 = 2

LCM(3296,6426) = ( 3296 × 6426 ) / 2

LCM(3296,6426) = 21180096 / 2

LCM(3296,6426) = 10590048


Lets's calculate GCF of 972,765

3 972, 765
3 324, 255
108, 85

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10590048/9

Therefore the LCM of Fractions 3296/972,6426/765 is 1176672

Greatest Common Factor of 972,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,765 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 972,765 . The biggest common factor number is the GCF number.
So the greatest common factor 972,765 is 9.


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 3296/972, 6426/765

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 3296/972, 6426/765?

Answer: LCM of Numerators as per given numbers 3296/972, 6426/765 is

LCM of Numerators i.e. for 3296,6426 is 10590048

GCF of denominators i.e. for 972,765 is 9.

Thus, LCM of Fractions is 1176672.Finally, LCM of Fractions for 3296/972, 6426/765 is 1176672.