Least Common Multiple of 734/847, 278/677, 497/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/847, 278/677, 497/513 quickly i.e. 50706922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/847, 278/677, 497/513 is 50706922.

LCM(734/847, 278/677, 497/513) = 50706922

LCM of 734/847, 278/677, 497/513

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 734/847,278/677,497/513

Given numbers are 734/847,278/677,497/513

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 734,278,497

Least Common Multiple of Numerators i.e. LCM of 734,278,497 is 50706922.

GCF of Denominators means GCF of 847,677,513 as per the given fractions.

GCF of 847,677,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,278,497

LCM of Fractions 734/847,278/677,497/513 is 50706922

2 734, 278, 497
367, 139, 497

∴ So the LCM of the given numbers is 2 x 367 x 139 x 497 = 50706922

Least Common Multiple of 734,278,497 with GCF Formula

Least Common Multiple of 734,278,497 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 734,278,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,278,497) = 1

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

GCF(734,278,497) x common factors =1 x 2 = 2

LCM(734,278,497) = ( 734 × 278 × 497 ) / 2

LCM(734,278,497) = 101413844 / 2

LCM(734,278,497) = 50706922


Lets's calculate GCF of 847,677,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50706922/1

Therefore the LCM of Fractions 734/847,278/677,497/513 is 50706922

Greatest Common Factor of 847,677,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,677,513 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Greatest Common Factor

We found the factors 847,677,513 . The biggest common factor number is the GCF number.
So the greatest common factor 847,677,513 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 734/847, 278/677, 497/513

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 734/847, 278/677, 497/513?

Answer: LCM of Numerators as per given numbers 734/847, 278/677, 497/513 is

LCM of Numerators i.e. for 734,278,497 is 50706922

GCF of denominators i.e. for 847,677,513 is 1.

Thus, LCM of Fractions is 50706922.Finally, LCM of Fractions for 734/847, 278/677, 497/513 is 50706922.