Least Common Multiple of 765/79, 6426/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 765/79, 6426/947 quickly i.e. 32130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/79, 6426/947 is 32130.

LCM(765/79, 6426/947) = 32130

LCM of 765/79, 6426/947

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 765/79,6426/947

Given numbers are 765/79,6426/947

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 765,6426

Least Common Multiple of Numerators i.e. LCM of 765,6426 is 32130.

GCF of Denominators means GCF of 79,947 as per the given fractions.

GCF of 79,947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,6426

LCM of Fractions 765/79,6426/947 is 32130

3 765, 6426
3 255, 2142
17 85, 714
5, 42

∴ So the LCM of the given numbers is 3 x 3 x 17 x 5 x 42 = 32130

Least Common Multiple of 765,6426 with GCF Formula

Least Common Multiple of 765,6426 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 765,6426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,6426) = 153

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

GCF(765,6426) x common factors =153 x 1 = 153

LCM(765,6426) = ( 765 × 6426 ) / 153

LCM(765,6426) = 4915890 / 153

LCM(765,6426) = 32130


Lets's calculate GCF of 79,947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32130/1

Therefore the LCM of Fractions 765/79,6426/947 is 32130

Greatest Common Factor of 79,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,947 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 79,947 . The biggest common factor number is the GCF number.
So the greatest common factor 79,947 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 765/79, 6426/947

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 765/79, 6426/947?

Answer: LCM of Numerators as per given numbers 765/79, 6426/947 is

LCM of Numerators i.e. for 765,6426 is 32130

GCF of denominators i.e. for 79,947 is 1.

Thus, LCM of Fractions is 32130.Finally, LCM of Fractions for 765/79, 6426/947 is 32130.