Least Common Multiple of 2748/428, 2065/1167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2748/428, 2065/1167 quickly i.e. 5674620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2748/428, 2065/1167 is 5674620.

LCM(2748/428, 2065/1167) = 5674620

LCM of 2748/428, 2065/1167

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 2748/428,2065/1167

Given numbers are 2748/428,2065/1167

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 2748,2065

Least Common Multiple of Numerators i.e. LCM of 2748,2065 is 5674620.

GCF of Denominators means GCF of 428,1167 as per the given fractions.

GCF of 428,1167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2748,2065

LCM of Fractions 2748/428,2065/1167 is 5674620

Given numbers has no common factors except 1. So, there LCM is their product i.e 5674620

Least Common Multiple of 2748,2065 with GCF Formula

Least Common Multiple of 2748,2065 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 2748,2065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2748,2065) = 1

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

GCF(2748,2065) x common factors =1 x 1 = 1

LCM(2748,2065) = ( 2748 × 2065 ) / 1

LCM(2748,2065) = 5674620 / 1

LCM(2748,2065) = 5674620


Lets's calculate GCF of 428,1167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5674620/1

Therefore the LCM of Fractions 2748/428,2065/1167 is 5674620

Greatest Common Factor of 428,1167 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,1167 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 1167

List of positive integer factors of 1167 that divides 1167 without a remainder.

1,3,389,1167

Greatest Common Factor

We found the factors 428,1167 . The biggest common factor number is the GCF number.
So the greatest common factor 428,1167 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 2748/428, 2065/1167

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 2748/428, 2065/1167?

Answer: LCM of Numerators as per given numbers 2748/428, 2065/1167 is

LCM of Numerators i.e. for 2748,2065 is 5674620

GCF of denominators i.e. for 428,1167 is 1.

Thus, LCM of Fractions is 5674620.Finally, LCM of Fractions for 2748/428, 2065/1167 is 5674620.