Least Common Multiple of 79/756, 69/504, 946/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/756, 69/504, 946/782 quickly i.e. 2578323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/756, 69/504, 946/782 is 2578323.

LCM(79/756, 69/504, 946/782) = 2578323

LCM of 79/756, 69/504, 946/782

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 79/756,69/504,946/782

Given numbers are 79/756,69/504,946/782

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 79,69,946

Least Common Multiple of Numerators i.e. LCM of 79,69,946 is 5156646.

GCF of Denominators means GCF of 756,504,782 as per the given fractions.

GCF of 756,504,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,69,946

LCM of Fractions 79/756,69/504,946/782 is 2578323

Given numbers has no common factors except 1. So, there LCM is their product i.e 5156646

Least Common Multiple of 79,69,946 with GCF Formula

Least Common Multiple of 79,69,946 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 79,69,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,69,946) = 1

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

GCF(79,69,946) x common factors =1 x 1 = 1

LCM(79,69,946) = ( 79 × 69 × 946 ) / 1

LCM(79,69,946) = 5156646 / 1

LCM(79,69,946) = 5156646


Lets's calculate GCF of 756,504,782

2 756, 504, 782
378, 252, 391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5156646/2

Therefore the LCM of Fractions 79/756,69/504,946/782 is 2578323

Greatest Common Factor of 756,504,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,504,782 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 756,504,782 . The biggest common factor number is the GCF number.
So the greatest common factor 756,504,782 is 2.


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 79/756, 69/504, 946/782

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 79/756, 69/504, 946/782?

Answer: LCM of Numerators as per given numbers 79/756, 69/504, 946/782 is

LCM of Numerators i.e. for 79,69,946 is 5156646

GCF of denominators i.e. for 756,504,782 is 2.

Thus, LCM of Fractions is 2578323.Finally, LCM of Fractions for 79/756, 69/504, 946/782 is 2578323.