Least Common Multiple of 44/682, 6948/2823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/682, 6948/2823 quickly i.e. 76428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/682, 6948/2823 is 76428.

LCM(44/682, 6948/2823) = 76428

LCM of 44/682, 6948/2823

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 44/682,6948/2823

Given numbers are 44/682,6948/2823

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 44,6948

Least Common Multiple of Numerators i.e. LCM of 44,6948 is 76428.

GCF of Denominators means GCF of 682,2823 as per the given fractions.

GCF of 682,2823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,6948

LCM of Fractions 44/682,6948/2823 is 76428

2 44, 6948
2 22, 3474
11, 1737

∴ So the LCM of the given numbers is 2 x 2 x 11 x 1737 = 76428

Least Common Multiple of 44,6948 with GCF Formula

Least Common Multiple of 44,6948 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 44,6948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,6948) = 4

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

GCF(44,6948) x common factors =4 x 1 = 4

LCM(44,6948) = ( 44 × 6948 ) / 4

LCM(44,6948) = 305712 / 4

LCM(44,6948) = 76428


Lets's calculate GCF of 682,2823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76428/1

Therefore the LCM of Fractions 44/682,6948/2823 is 76428

Greatest Common Factor of 682,2823 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,2823 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 2823

List of positive integer factors of 2823 that divides 2823 without a remainder.

1,3,941,2823

Greatest Common Factor

We found the factors 682,2823 . The biggest common factor number is the GCF number.
So the greatest common factor 682,2823 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 44/682, 6948/2823

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 44/682, 6948/2823?

Answer: LCM of Numerators as per given numbers 44/682, 6948/2823 is

LCM of Numerators i.e. for 44,6948 is 76428

GCF of denominators i.e. for 682,2823 is 1.

Thus, LCM of Fractions is 76428.Finally, LCM of Fractions for 44/682, 6948/2823 is 76428.