Least Common Multiple of 674/37, 783/46, 654/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/37, 783/46, 654/895 quickly i.e. 57523878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/37, 783/46, 654/895 is 57523878.

LCM(674/37, 783/46, 654/895) = 57523878

LCM of 674/37, 783/46, 654/895

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 674/37,783/46,654/895

Given numbers are 674/37,783/46,654/895

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 674,783,654

Least Common Multiple of Numerators i.e. LCM of 674,783,654 is 57523878.

GCF of Denominators means GCF of 37,46,895 as per the given fractions.

GCF of 37,46,895 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,783,654

LCM of Fractions 674/37,783/46,654/895 is 57523878

2 674, 783, 654
3 337, 783, 327
337, 261, 109

∴ So the LCM of the given numbers is 2 x 3 x 337 x 261 x 109 = 57523878

Least Common Multiple of 674,783,654 with GCF Formula

Least Common Multiple of 674,783,654 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 674,783,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,783,654) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(674,783,654) x common factors =1 x 6 = 6

LCM(674,783,654) = ( 674 × 783 × 654 ) / 6

LCM(674,783,654) = 345143268 / 6

LCM(674,783,654) = 57523878


Lets's calculate GCF of 37,46,895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57523878/1

Therefore the LCM of Fractions 674/37,783/46,654/895 is 57523878

Greatest Common Factor of 37,46,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,46,895 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 37,46,895 . The biggest common factor number is the GCF number.
So the greatest common factor 37,46,895 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 674/37, 783/46, 654/895

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 674/37, 783/46, 654/895?

Answer: LCM of Numerators as per given numbers 674/37, 783/46, 654/895 is

LCM of Numerators i.e. for 674,783,654 is 57523878

GCF of denominators i.e. for 37,46,895 is 1.

Thus, LCM of Fractions is 57523878.Finally, LCM of Fractions for 674/37, 783/46, 654/895 is 57523878.