Least Common Multiple of 798/214, 361/334, 260/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 798/214, 361/334, 260/417 quickly i.e. 1971060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 798/214, 361/334, 260/417 is 1971060.

LCM(798/214, 361/334, 260/417) = 1971060

LCM of 798/214, 361/334, 260/417

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 798/214,361/334,260/417

Given numbers are 798/214,361/334,260/417

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 798,361,260

Least Common Multiple of Numerators i.e. LCM of 798,361,260 is 1971060.

GCF of Denominators means GCF of 214,334,417 as per the given fractions.

GCF of 214,334,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 798,361,260

LCM of Fractions 798/214,361/334,260/417 is 1971060

2 798, 361, 260
19 399, 361, 130
21, 19, 130

∴ So the LCM of the given numbers is 2 x 19 x 21 x 19 x 130 = 1971060

Least Common Multiple of 798,361,260 with GCF Formula

Least Common Multiple of 798,361,260 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 798,361,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,361,260) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(798,361,260) x common factors =1 x 38 = 38

LCM(798,361,260) = ( 798 × 361 × 260 ) / 38

LCM(798,361,260) = 74900280 / 38

LCM(798,361,260) = 1971060


Lets's calculate GCF of 214,334,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1971060/1

Therefore the LCM of Fractions 798/214,361/334,260/417 is 1971060

Greatest Common Factor of 214,334,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,334,417 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 214,334,417 . The biggest common factor number is the GCF number.
So the greatest common factor 214,334,417 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 798/214, 361/334, 260/417

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 798/214, 361/334, 260/417?

Answer: LCM of Numerators as per given numbers 798/214, 361/334, 260/417 is

LCM of Numerators i.e. for 798,361,260 is 1971060

GCF of denominators i.e. for 214,334,417 is 1.

Thus, LCM of Fractions is 1971060.Finally, LCM of Fractions for 798/214, 361/334, 260/417 is 1971060.