Least Common Multiple of 783/715, 3762/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 783/715, 3762/187 quickly i.e. 29754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 783/715, 3762/187 is 29754.

LCM(783/715, 3762/187) = 29754

LCM of 783/715, 3762/187

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 783/715,3762/187

Given numbers are 783/715,3762/187

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 783,3762

Least Common Multiple of Numerators i.e. LCM of 783,3762 is 327294.

GCF of Denominators means GCF of 715,187 as per the given fractions.

GCF of 715,187 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 783,3762

LCM of Fractions 783/715,3762/187 is 29754

3 783, 3762
3 261, 1254
87, 418

∴ So the LCM of the given numbers is 3 x 3 x 87 x 418 = 327294

Least Common Multiple of 783,3762 with GCF Formula

Least Common Multiple of 783,3762 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 783,3762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,3762) = 9

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

GCF(783,3762) x common factors =9 x 1 = 9

LCM(783,3762) = ( 783 × 3762 ) / 9

LCM(783,3762) = 2945646 / 9

LCM(783,3762) = 327294


Lets's calculate GCF of 715,187

11 715, 187
65, 17

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327294/11

Therefore the LCM of Fractions 783/715,3762/187 is 29754

Greatest Common Factor of 715,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,187 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 715,187 . The biggest common factor number is the GCF number.
So the greatest common factor 715,187 is 11.


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 783/715, 3762/187

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 783/715, 3762/187?

Answer: LCM of Numerators as per given numbers 783/715, 3762/187 is

LCM of Numerators i.e. for 783,3762 is 327294

GCF of denominators i.e. for 715,187 is 11.

Thus, LCM of Fractions is 29754.Finally, LCM of Fractions for 783/715, 3762/187 is 29754.