Least Common Multiple of 74/93, 146/75, 755/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/93, 146/75, 755/413 quickly i.e. 4078510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/93, 146/75, 755/413 is 4078510.

LCM(74/93, 146/75, 755/413) = 4078510

LCM of 74/93, 146/75, 755/413

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 74/93,146/75,755/413

Given numbers are 74/93,146/75,755/413

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 74,146,755

Least Common Multiple of Numerators i.e. LCM of 74,146,755 is 4078510.

GCF of Denominators means GCF of 93,75,413 as per the given fractions.

GCF of 93,75,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,146,755

LCM of Fractions 74/93,146/75,755/413 is 4078510

2 74, 146, 755
37, 73, 755

∴ So the LCM of the given numbers is 2 x 37 x 73 x 755 = 4078510

Least Common Multiple of 74,146,755 with GCF Formula

Least Common Multiple of 74,146,755 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 74,146,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,146,755) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,146,755) x common factors =1 x 2 = 2

LCM(74,146,755) = ( 74 × 146 × 755 ) / 2

LCM(74,146,755) = 8157020 / 2

LCM(74,146,755) = 4078510


Lets's calculate GCF of 93,75,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4078510/1

Therefore the LCM of Fractions 74/93,146/75,755/413 is 4078510

Greatest Common Factor of 93,75,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,75,413 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 93,75,413 . The biggest common factor number is the GCF number.
So the greatest common factor 93,75,413 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 74/93, 146/75, 755/413

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 74/93, 146/75, 755/413?

Answer: LCM of Numerators as per given numbers 74/93, 146/75, 755/413 is

LCM of Numerators i.e. for 74,146,755 is 4078510

GCF of denominators i.e. for 93,75,413 is 1.

Thus, LCM of Fractions is 4078510.Finally, LCM of Fractions for 74/93, 146/75, 755/413 is 4078510.