Least Common Multiple of 509/997, 147/719, 768/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/997, 147/719, 768/971 quickly i.e. 19154688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/997, 147/719, 768/971 is 19154688.

LCM(509/997, 147/719, 768/971) = 19154688

LCM of 509/997, 147/719, 768/971

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 509/997,147/719,768/971

Given numbers are 509/997,147/719,768/971

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 509,147,768

Least Common Multiple of Numerators i.e. LCM of 509,147,768 is 19154688.

GCF of Denominators means GCF of 997,719,971 as per the given fractions.

GCF of 997,719,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,147,768

LCM of Fractions 509/997,147/719,768/971 is 19154688

3 509, 147, 768
509, 49, 256

∴ So the LCM of the given numbers is 3 x 509 x 49 x 256 = 19154688

Least Common Multiple of 509,147,768 with GCF Formula

Least Common Multiple of 509,147,768 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 509,147,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,147,768) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(509,147,768) x common factors =1 x 3 = 3

LCM(509,147,768) = ( 509 × 147 × 768 ) / 3

LCM(509,147,768) = 57464064 / 3

LCM(509,147,768) = 19154688


Lets's calculate GCF of 997,719,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19154688/1

Therefore the LCM of Fractions 509/997,147/719,768/971 is 19154688

Greatest Common Factor of 997,719,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 997,719,971 By Matching Biggest Common Factor Method

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 719

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

1,719

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 997,719,971 . The biggest common factor number is the GCF number.
So the greatest common factor 997,719,971 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 509/997, 147/719, 768/971

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 509/997, 147/719, 768/971?

Answer: LCM of Numerators as per given numbers 509/997, 147/719, 768/971 is

LCM of Numerators i.e. for 509,147,768 is 19154688

GCF of denominators i.e. for 997,719,971 is 1.

Thus, LCM of Fractions is 19154688.Finally, LCM of Fractions for 509/997, 147/719, 768/971 is 19154688.