Least Common Multiple of 373/991, 419/992, 458/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 373/991, 419/992, 458/750 quickly i.e. 71579446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 373/991, 419/992, 458/750 is 71579446.

LCM(373/991, 419/992, 458/750) = 71579446

LCM of 373/991, 419/992, 458/750

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 373/991,419/992,458/750

Given numbers are 373/991,419/992,458/750

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 373,419,458

Least Common Multiple of Numerators i.e. LCM of 373,419,458 is 71579446.

GCF of Denominators means GCF of 991,992,750 as per the given fractions.

GCF of 991,992,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 373,419,458

LCM of Fractions 373/991,419/992,458/750 is 71579446

Given numbers has no common factors except 1. So, there LCM is their product i.e 71579446

Least Common Multiple of 373,419,458 with GCF Formula

Least Common Multiple of 373,419,458 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 373,419,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,419,458) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(373,419,458) x common factors =1 x 1 = 1

LCM(373,419,458) = ( 373 × 419 × 458 ) / 1

LCM(373,419,458) = 71579446 / 1

LCM(373,419,458) = 71579446


Lets's calculate GCF of 991,992,750

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71579446/1

Therefore the LCM of Fractions 373/991,419/992,458/750 is 71579446

Greatest Common Factor of 991,992,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 991,992,750 By Matching Biggest Common Factor Method

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 991,992,750 . The biggest common factor number is the GCF number.
So the greatest common factor 991,992,750 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 373/991, 419/992, 458/750

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 373/991, 419/992, 458/750?

Answer: LCM of Numerators as per given numbers 373/991, 419/992, 458/750 is

LCM of Numerators i.e. for 373,419,458 is 71579446

GCF of denominators i.e. for 991,992,750 is 1.

Thus, LCM of Fractions is 71579446.Finally, LCM of Fractions for 373/991, 419/992, 458/750 is 71579446.