Least Common Multiple of 351/719, 265/994, 523/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 351/719, 265/994, 523/897 quickly i.e. 48646845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 351/719, 265/994, 523/897 is 48646845.

LCM(351/719, 265/994, 523/897) = 48646845

LCM of 351/719, 265/994, 523/897

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 351/719,265/994,523/897

Given numbers are 351/719,265/994,523/897

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 351,265,523

Least Common Multiple of Numerators i.e. LCM of 351,265,523 is 48646845.

GCF of Denominators means GCF of 719,994,897 as per the given fractions.

GCF of 719,994,897 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 351,265,523

LCM of Fractions 351/719,265/994,523/897 is 48646845

Given numbers has no common factors except 1. So, there LCM is their product i.e 48646845

Least Common Multiple of 351,265,523 with GCF Formula

Least Common Multiple of 351,265,523 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 351,265,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(351,265,523) = 1

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

GCF(351,265,523) x common factors =1 x 1 = 1

LCM(351,265,523) = ( 351 × 265 × 523 ) / 1

LCM(351,265,523) = 48646845 / 1

LCM(351,265,523) = 48646845


Lets's calculate GCF of 719,994,897

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48646845/1

Therefore the LCM of Fractions 351/719,265/994,523/897 is 48646845

Greatest Common Factor of 719,994,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,994,897 By Matching Biggest Common Factor Method

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 719,994,897 . The biggest common factor number is the GCF number.
So the greatest common factor 719,994,897 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 351/719, 265/994, 523/897

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 351/719, 265/994, 523/897?

Answer: LCM of Numerators as per given numbers 351/719, 265/994, 523/897 is

LCM of Numerators i.e. for 351,265,523 is 48646845

GCF of denominators i.e. for 719,994,897 is 1.

Thus, LCM of Fractions is 48646845.Finally, LCM of Fractions for 351/719, 265/994, 523/897 is 48646845.