Least Common Multiple of 34/797, 452/987, 687/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/797, 452/987, 687/635 quickly i.e. 5278908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/797, 452/987, 687/635 is 5278908.

LCM(34/797, 452/987, 687/635) = 5278908

LCM of 34/797, 452/987, 687/635

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 34/797,452/987,687/635

Given numbers are 34/797,452/987,687/635

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 34,452,687

Least Common Multiple of Numerators i.e. LCM of 34,452,687 is 5278908.

GCF of Denominators means GCF of 797,987,635 as per the given fractions.

GCF of 797,987,635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,452,687

LCM of Fractions 34/797,452/987,687/635 is 5278908

2 34, 452, 687
17, 226, 687

∴ So the LCM of the given numbers is 2 x 17 x 226 x 687 = 5278908

Least Common Multiple of 34,452,687 with GCF Formula

Least Common Multiple of 34,452,687 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 34,452,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,452,687) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,452,687) x common factors =1 x 2 = 2

LCM(34,452,687) = ( 34 × 452 × 687 ) / 2

LCM(34,452,687) = 10557816 / 2

LCM(34,452,687) = 5278908


Lets's calculate GCF of 797,987,635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5278908/1

Therefore the LCM of Fractions 34/797,452/987,687/635 is 5278908

Greatest Common Factor of 797,987,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 797,987,635 By Matching Biggest Common Factor Method

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 797,987,635 . The biggest common factor number is the GCF number.
So the greatest common factor 797,987,635 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 34/797, 452/987, 687/635

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 34/797, 452/987, 687/635?

Answer: LCM of Numerators as per given numbers 34/797, 452/987, 687/635 is

LCM of Numerators i.e. for 34,452,687 is 5278908

GCF of denominators i.e. for 797,987,635 is 1.

Thus, LCM of Fractions is 5278908.Finally, LCM of Fractions for 34/797, 452/987, 687/635 is 5278908.