Least Common Multiple of 38/84, 49/34, 49/80, 56/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/84, 49/34, 49/80, 56/979 quickly i.e. 7448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/84, 49/34, 49/80, 56/979 is 7448.

LCM(38/84, 49/34, 49/80, 56/979) = 7448

LCM of 38/84, 49/34, 49/80, 56/979

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 38/84,49/34,49/80,56/979

Given numbers are 38/84,49/34,49/80,56/979

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 38,49,49,56

Least Common Multiple of Numerators i.e. LCM of 38,49,49,56 is 7448.

GCF of Denominators means GCF of 84,34,80,979 as per the given fractions.

GCF of 84,34,80,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,49,49,56

LCM of Fractions 38/84,49/34,49/80,56/979 is 7448

2 38, 49, 49, 56
7 19, 49, 49, 28
7 19, 7, 7, 4
19, 1, 1, 4

∴ So the LCM of the given numbers is 2 x 7 x 7 x 19 x 1 x 1 x 4 = 7448

Least Common Multiple of 38,49,49,56 with GCF Formula

Least Common Multiple of 38,49,49,56 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 38,49,49,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,49,49,56) = 1

common factors(in case of two or more numbers have common factors) = 686

GCF(38,49,49,56) x common factors =1 x 686 = 686

LCM(38,49,49,56) = ( 38 × 49 × 49 × 56 ) / 686

LCM(38,49,49,56) = 5109328 / 686

LCM(38,49,49,56) = 7448


Lets's calculate GCF of 84,34,80,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7448/1

Therefore the LCM of Fractions 38/84,49/34,49/80,56/979 is 7448

Greatest Common Factor of 84,34,80,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,34,80,979 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 84,34,80,979 . The biggest common factor number is the GCF number.
So the greatest common factor 84,34,80,979 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 38/84, 49/34, 49/80, 56/979

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 38/84, 49/34, 49/80, 56/979?

Answer: LCM of Numerators as per given numbers 38/84, 49/34, 49/80, 56/979 is

LCM of Numerators i.e. for 38,49,49,56 is 7448

GCF of denominators i.e. for 84,34,80,979 is 1.

Thus, LCM of Fractions is 7448.Finally, LCM of Fractions for 38/84, 49/34, 49/80, 56/979 is 7448.