Least Common Multiple of 90/749, 75/406, 493/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/749, 75/406, 493/377 quickly i.e. 221850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/749, 75/406, 493/377 is 221850.

LCM(90/749, 75/406, 493/377) = 221850

LCM of 90/749, 75/406, 493/377

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 90/749,75/406,493/377

Given numbers are 90/749,75/406,493/377

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 90,75,493

Least Common Multiple of Numerators i.e. LCM of 90,75,493 is 221850.

GCF of Denominators means GCF of 749,406,377 as per the given fractions.

GCF of 749,406,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,75,493

LCM of Fractions 90/749,75/406,493/377 is 221850

3 90, 75, 493
5 30, 25, 493
6, 5, 493

∴ So the LCM of the given numbers is 3 x 5 x 6 x 5 x 493 = 221850

Least Common Multiple of 90,75,493 with GCF Formula

Least Common Multiple of 90,75,493 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 90,75,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,75,493) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(90,75,493) x common factors =1 x 15 = 15

LCM(90,75,493) = ( 90 × 75 × 493 ) / 15

LCM(90,75,493) = 3327750 / 15

LCM(90,75,493) = 221850


Lets's calculate GCF of 749,406,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221850/1

Therefore the LCM of Fractions 90/749,75/406,493/377 is 221850

Greatest Common Factor of 749,406,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,406,377 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 749,406,377 . The biggest common factor number is the GCF number.
So the greatest common factor 749,406,377 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 90/749, 75/406, 493/377

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 90/749, 75/406, 493/377?

Answer: LCM of Numerators as per given numbers 90/749, 75/406, 493/377 is

LCM of Numerators i.e. for 90,75,493 is 221850

GCF of denominators i.e. for 749,406,377 is 1.

Thus, LCM of Fractions is 221850.Finally, LCM of Fractions for 90/749, 75/406, 493/377 is 221850.