Least Common Multiple of 79/406, 72/922, 506/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/406, 72/922, 506/464 quickly i.e. 719532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/406, 72/922, 506/464 is 719532.

LCM(79/406, 72/922, 506/464) = 719532

LCM of 79/406, 72/922, 506/464

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 79/406,72/922,506/464

Given numbers are 79/406,72/922,506/464

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 79,72,506

Least Common Multiple of Numerators i.e. LCM of 79,72,506 is 1439064.

GCF of Denominators means GCF of 406,922,464 as per the given fractions.

GCF of 406,922,464 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,72,506

LCM of Fractions 79/406,72/922,506/464 is 719532

2 79, 72, 506
79, 36, 253

∴ So the LCM of the given numbers is 2 x 79 x 36 x 253 = 1439064

Least Common Multiple of 79,72,506 with GCF Formula

Least Common Multiple of 79,72,506 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 79,72,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,72,506) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(79,72,506) x common factors =1 x 2 = 2

LCM(79,72,506) = ( 79 × 72 × 506 ) / 2

LCM(79,72,506) = 2878128 / 2

LCM(79,72,506) = 1439064


Lets's calculate GCF of 406,922,464

2 406, 922, 464
203, 461, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1439064/2

Therefore the LCM of Fractions 79/406,72/922,506/464 is 719532

Greatest Common Factor of 406,922,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,922,464 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 406,922,464 . The biggest common factor number is the GCF number.
So the greatest common factor 406,922,464 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 79/406, 72/922, 506/464

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 79/406, 72/922, 506/464?

Answer: LCM of Numerators as per given numbers 79/406, 72/922, 506/464 is

LCM of Numerators i.e. for 79,72,506 is 1439064

GCF of denominators i.e. for 406,922,464 is 2.

Thus, LCM of Fractions is 719532.Finally, LCM of Fractions for 79/406, 72/922, 506/464 is 719532.