Least Common Multiple of 77/448, 678/543, 979/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/448, 678/543, 979/449 quickly i.e. 4646334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/448, 678/543, 979/449 is 4646334.

LCM(77/448, 678/543, 979/449) = 4646334

LCM of 77/448, 678/543, 979/449

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 77/448,678/543,979/449

Given numbers are 77/448,678/543,979/449

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 77,678,979

Least Common Multiple of Numerators i.e. LCM of 77,678,979 is 4646334.

GCF of Denominators means GCF of 448,543,449 as per the given fractions.

GCF of 448,543,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,678,979

LCM of Fractions 77/448,678/543,979/449 is 4646334

11 77, 678, 979
7, 678, 89

∴ So the LCM of the given numbers is 11 x 7 x 678 x 89 = 4646334

Least Common Multiple of 77,678,979 with GCF Formula

Least Common Multiple of 77,678,979 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 77,678,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,678,979) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,678,979) x common factors =1 x 11 = 11

LCM(77,678,979) = ( 77 × 678 × 979 ) / 11

LCM(77,678,979) = 51109674 / 11

LCM(77,678,979) = 4646334


Lets's calculate GCF of 448,543,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4646334/1

Therefore the LCM of Fractions 77/448,678/543,979/449 is 4646334

Greatest Common Factor of 448,543,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,543,449 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 448,543,449 . The biggest common factor number is the GCF number.
So the greatest common factor 448,543,449 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 77/448, 678/543, 979/449

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 77/448, 678/543, 979/449?

Answer: LCM of Numerators as per given numbers 77/448, 678/543, 979/449 is

LCM of Numerators i.e. for 77,678,979 is 4646334

GCF of denominators i.e. for 448,543,449 is 1.

Thus, LCM of Fractions is 4646334.Finally, LCM of Fractions for 77/448, 678/543, 979/449 is 4646334.