Least Common Multiple of 719/434, 319/995, 473/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 719/434, 319/995, 473/940 quickly i.e. 9862523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/434, 319/995, 473/940 is 9862523.

LCM(719/434, 319/995, 473/940) = 9862523

LCM of 719/434, 319/995, 473/940

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 719/434,319/995,473/940

Given numbers are 719/434,319/995,473/940

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 719,319,473

Least Common Multiple of Numerators i.e. LCM of 719,319,473 is 9862523.

GCF of Denominators means GCF of 434,995,940 as per the given fractions.

GCF of 434,995,940 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,319,473

LCM of Fractions 719/434,319/995,473/940 is 9862523

11 719, 319, 473
719, 29, 43

∴ So the LCM of the given numbers is 11 x 719 x 29 x 43 = 9862523

Least Common Multiple of 719,319,473 with GCF Formula

Least Common Multiple of 719,319,473 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 719,319,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,319,473) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(719,319,473) x common factors =1 x 11 = 11

LCM(719,319,473) = ( 719 × 319 × 473 ) / 11

LCM(719,319,473) = 108487753 / 11

LCM(719,319,473) = 9862523


Lets's calculate GCF of 434,995,940

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9862523/1

Therefore the LCM of Fractions 719/434,319/995,473/940 is 9862523

Greatest Common Factor of 434,995,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,995,940 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 434,995,940 . The biggest common factor number is the GCF number.
So the greatest common factor 434,995,940 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 719/434, 319/995, 473/940

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 719/434, 319/995, 473/940?

Answer: LCM of Numerators as per given numbers 719/434, 319/995, 473/940 is

LCM of Numerators i.e. for 719,319,473 is 9862523

GCF of denominators i.e. for 434,995,940 is 1.

Thus, LCM of Fractions is 9862523.Finally, LCM of Fractions for 719/434, 319/995, 473/940 is 9862523.