Least Common Multiple of 689/50, 795/23, 970/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 689/50, 795/23, 970/414 quickly i.e. 2004990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/50, 795/23, 970/414 is 2004990.

LCM(689/50, 795/23, 970/414) = 2004990

LCM of 689/50, 795/23, 970/414

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 689/50,795/23,970/414

Given numbers are 689/50,795/23,970/414

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 689,795,970

Least Common Multiple of Numerators i.e. LCM of 689,795,970 is 2004990.

GCF of Denominators means GCF of 50,23,414 as per the given fractions.

GCF of 50,23,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,795,970

LCM of Fractions 689/50,795/23,970/414 is 2004990

5 689, 795, 970
53 689, 159, 194
13, 3, 194

∴ So the LCM of the given numbers is 5 x 53 x 13 x 3 x 194 = 2004990

Least Common Multiple of 689,795,970 with GCF Formula

Least Common Multiple of 689,795,970 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 689,795,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,795,970) = 1

common factors(in case of two or more numbers have common factors) = 265

GCF(689,795,970) x common factors =1 x 265 = 265

LCM(689,795,970) = ( 689 × 795 × 970 ) / 265

LCM(689,795,970) = 531322350 / 265

LCM(689,795,970) = 2004990


Lets's calculate GCF of 50,23,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2004990/1

Therefore the LCM of Fractions 689/50,795/23,970/414 is 2004990

Greatest Common Factor of 50,23,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,23,414 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 50,23,414 . The biggest common factor number is the GCF number.
So the greatest common factor 50,23,414 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 689/50, 795/23, 970/414

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 689/50, 795/23, 970/414?

Answer: LCM of Numerators as per given numbers 689/50, 795/23, 970/414 is

LCM of Numerators i.e. for 689,795,970 is 2004990

GCF of denominators i.e. for 50,23,414 is 1.

Thus, LCM of Fractions is 2004990.Finally, LCM of Fractions for 689/50, 795/23, 970/414 is 2004990.