Least Common Multiple of 1683/616, 7548/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1683/616, 7548/749 quickly i.e. 249084/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1683/616, 7548/749 is 249084/7.

LCM(1683/616, 7548/749) = 249084/7

LCM of 1683/616, 7548/749

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 1683/616,7548/749

Given numbers are 1683/616,7548/749

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 1683,7548

Least Common Multiple of Numerators i.e. LCM of 1683,7548 is 249084.

GCF of Denominators means GCF of 616,749 as per the given fractions.

GCF of 616,749 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1683,7548

LCM of Fractions 1683/616,7548/749 is 249084/7

3 1683, 7548
17 561, 2516
33, 148

∴ So the LCM of the given numbers is 3 x 17 x 33 x 148 = 249084

Least Common Multiple of 1683,7548 with GCF Formula

Least Common Multiple of 1683,7548 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 1683,7548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1683,7548) = 51

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

GCF(1683,7548) x common factors =51 x 1 = 51

LCM(1683,7548) = ( 1683 × 7548 ) / 51

LCM(1683,7548) = 12703284 / 51

LCM(1683,7548) = 249084


Lets's calculate GCF of 616,749

7 616, 749
88, 107

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249084/7

Therefore the LCM of Fractions 1683/616,7548/749 is 249084/7

Greatest Common Factor of 616,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,749 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 616,749 . The biggest common factor number is the GCF number.
So the greatest common factor 616,749 is 7.


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 1683/616, 7548/749

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 1683/616, 7548/749?

Answer: LCM of Numerators as per given numbers 1683/616, 7548/749 is

LCM of Numerators i.e. for 1683,7548 is 249084

GCF of denominators i.e. for 616,749 is 7.

Thus, LCM of Fractions is 249084/7.Finally, LCM of Fractions for 1683/616, 7548/749 is 249084/7.