Least Common Multiple of 51/698, 240/817, 529/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/698, 240/817, 529/113 quickly i.e. 2158320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/698, 240/817, 529/113 is 2158320.

LCM(51/698, 240/817, 529/113) = 2158320

LCM of 51/698, 240/817, 529/113

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 51/698,240/817,529/113

Given numbers are 51/698,240/817,529/113

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 51,240,529

Least Common Multiple of Numerators i.e. LCM of 51,240,529 is 2158320.

GCF of Denominators means GCF of 698,817,113 as per the given fractions.

GCF of 698,817,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,240,529

LCM of Fractions 51/698,240/817,529/113 is 2158320

3 51, 240, 529
17, 80, 529

∴ So the LCM of the given numbers is 3 x 17 x 80 x 529 = 2158320

Least Common Multiple of 51,240,529 with GCF Formula

Least Common Multiple of 51,240,529 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 51,240,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,240,529) = 1

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

GCF(51,240,529) x common factors =1 x 3 = 3

LCM(51,240,529) = ( 51 × 240 × 529 ) / 3

LCM(51,240,529) = 6474960 / 3

LCM(51,240,529) = 2158320


Lets's calculate GCF of 698,817,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2158320/1

Therefore the LCM of Fractions 51/698,240/817,529/113 is 2158320

Greatest Common Factor of 698,817,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,817,113 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 698,817,113 . The biggest common factor number is the GCF number.
So the greatest common factor 698,817,113 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 51/698, 240/817, 529/113

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 51/698, 240/817, 529/113?

Answer: LCM of Numerators as per given numbers 51/698, 240/817, 529/113 is

LCM of Numerators i.e. for 51,240,529 is 2158320

GCF of denominators i.e. for 698,817,113 is 1.

Thus, LCM of Fractions is 2158320.Finally, LCM of Fractions for 51/698, 240/817, 529/113 is 2158320.