Least Common Multiple of 405/79, 709/77, 648/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 405/79, 709/77, 648/22 quickly i.e. 2297160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 405/79, 709/77, 648/22 is 2297160.

LCM(405/79, 709/77, 648/22) = 2297160

LCM of 405/79, 709/77, 648/22

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 405/79,709/77,648/22

Given numbers are 405/79,709/77,648/22

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 405,709,648

Least Common Multiple of Numerators i.e. LCM of 405,709,648 is 2297160.

GCF of Denominators means GCF of 79,77,22 as per the given fractions.

GCF of 79,77,22 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 405,709,648

LCM of Fractions 405/79,709/77,648/22 is 2297160

3 405, 709, 648
3 135, 709, 216
3 45, 709, 72
3 15, 709, 24
5, 709, 8

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 5 x 709 x 8 = 2297160

Least Common Multiple of 405,709,648 with GCF Formula

Least Common Multiple of 405,709,648 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 405,709,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,709,648) = 1

common factors(in case of two or more numbers have common factors) = 81

GCF(405,709,648) x common factors =1 x 81 = 81

LCM(405,709,648) = ( 405 × 709 × 648 ) / 81

LCM(405,709,648) = 186069960 / 81

LCM(405,709,648) = 2297160


Lets's calculate GCF of 79,77,22

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2297160/1

Therefore the LCM of Fractions 405/79,709/77,648/22 is 2297160

Greatest Common Factor of 79,77,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,77,22 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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 79,77,22 . The biggest common factor number is the GCF number.
So the greatest common factor 79,77,22 is 1.


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 405/79, 709/77, 648/22

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 405/79, 709/77, 648/22?

Answer: LCM of Numerators as per given numbers 405/79, 709/77, 648/22 is

LCM of Numerators i.e. for 405,709,648 is 2297160

GCF of denominators i.e. for 79,77,22 is 1.

Thus, LCM of Fractions is 2297160.Finally, LCM of Fractions for 405/79, 709/77, 648/22 is 2297160.