Least Common Multiple of 74/741, 950/145, 893/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/741, 950/145, 893/679 quickly i.e. 1652050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/741, 950/145, 893/679 is 1652050.

LCM(74/741, 950/145, 893/679) = 1652050

LCM of 74/741, 950/145, 893/679

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 74/741,950/145,893/679

Given numbers are 74/741,950/145,893/679

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 74,950,893

Least Common Multiple of Numerators i.e. LCM of 74,950,893 is 1652050.

GCF of Denominators means GCF of 741,145,679 as per the given fractions.

GCF of 741,145,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,950,893

LCM of Fractions 74/741,950/145,893/679 is 1652050

2 74, 950, 893
19 37, 475, 893
37, 25, 47

∴ So the LCM of the given numbers is 2 x 19 x 37 x 25 x 47 = 1652050

Least Common Multiple of 74,950,893 with GCF Formula

Least Common Multiple of 74,950,893 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 74,950,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,950,893) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(74,950,893) x common factors =1 x 38 = 38

LCM(74,950,893) = ( 74 × 950 × 893 ) / 38

LCM(74,950,893) = 62777900 / 38

LCM(74,950,893) = 1652050


Lets's calculate GCF of 741,145,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1652050/1

Therefore the LCM of Fractions 74/741,950/145,893/679 is 1652050

Greatest Common Factor of 741,145,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,145,679 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 741,145,679 . The biggest common factor number is the GCF number.
So the greatest common factor 741,145,679 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 74/741, 950/145, 893/679

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 74/741, 950/145, 893/679?

Answer: LCM of Numerators as per given numbers 74/741, 950/145, 893/679 is

LCM of Numerators i.e. for 74,950,893 is 1652050

GCF of denominators i.e. for 741,145,679 is 1.

Thus, LCM of Fractions is 1652050.Finally, LCM of Fractions for 74/741, 950/145, 893/679 is 1652050.