Least Common Multiple of 74/145, 99/697, 644/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/145, 99/697, 644/497 quickly i.e. 2358972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/145, 99/697, 644/497 is 2358972.

LCM(74/145, 99/697, 644/497) = 2358972

LCM of 74/145, 99/697, 644/497

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 74/145,99/697,644/497

Given numbers are 74/145,99/697,644/497

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 74,99,644

Least Common Multiple of Numerators i.e. LCM of 74,99,644 is 2358972.

GCF of Denominators means GCF of 145,697,497 as per the given fractions.

GCF of 145,697,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,99,644

LCM of Fractions 74/145,99/697,644/497 is 2358972

2 74, 99, 644
37, 99, 322

∴ So the LCM of the given numbers is 2 x 37 x 99 x 322 = 2358972

Least Common Multiple of 74,99,644 with GCF Formula

Least Common Multiple of 74,99,644 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 74,99,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,99,644) = 1

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

GCF(74,99,644) x common factors =1 x 2 = 2

LCM(74,99,644) = ( 74 × 99 × 644 ) / 2

LCM(74,99,644) = 4717944 / 2

LCM(74,99,644) = 2358972


Lets's calculate GCF of 145,697,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2358972/1

Therefore the LCM of Fractions 74/145,99/697,644/497 is 2358972

Greatest Common Factor of 145,697,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,697,497 By Matching Biggest Common Factor Method

Factors of 145

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

1,5,29,145

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 145,697,497 . The biggest common factor number is the GCF number.
So the greatest common factor 145,697,497 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 74/145, 99/697, 644/497

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 74/145, 99/697, 644/497?

Answer: LCM of Numerators as per given numbers 74/145, 99/697, 644/497 is

LCM of Numerators i.e. for 74,99,644 is 2358972

GCF of denominators i.e. for 145,697,497 is 1.

Thus, LCM of Fractions is 2358972.Finally, LCM of Fractions for 74/145, 99/697, 644/497 is 2358972.