Least Common Multiple of 500/34, 506/50, 849/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/34, 506/50, 849/859 quickly i.e. 107398500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/34, 506/50, 849/859 is 107398500.

LCM(500/34, 506/50, 849/859) = 107398500

LCM of 500/34, 506/50, 849/859

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 500/34,506/50,849/859

Given numbers are 500/34,506/50,849/859

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 500,506,849

Least Common Multiple of Numerators i.e. LCM of 500,506,849 is 107398500.

GCF of Denominators means GCF of 34,50,859 as per the given fractions.

GCF of 34,50,859 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,506,849

LCM of Fractions 500/34,506/50,849/859 is 107398500

2 500, 506, 849
250, 253, 849

∴ So the LCM of the given numbers is 2 x 250 x 253 x 849 = 107398500

Least Common Multiple of 500,506,849 with GCF Formula

Least Common Multiple of 500,506,849 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 500,506,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,506,849) = 1

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

GCF(500,506,849) x common factors =1 x 2 = 2

LCM(500,506,849) = ( 500 × 506 × 849 ) / 2

LCM(500,506,849) = 214797000 / 2

LCM(500,506,849) = 107398500


Lets's calculate GCF of 34,50,859

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107398500/1

Therefore the LCM of Fractions 500/34,506/50,849/859 is 107398500

Greatest Common Factor of 34,50,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,50,859 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 50

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

1,2,5,10,25,50

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Greatest Common Factor

We found the factors 34,50,859 . The biggest common factor number is the GCF number.
So the greatest common factor 34,50,859 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 500/34, 506/50, 849/859

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 500/34, 506/50, 849/859?

Answer: LCM of Numerators as per given numbers 500/34, 506/50, 849/859 is

LCM of Numerators i.e. for 500,506,849 is 107398500

GCF of denominators i.e. for 34,50,859 is 1.

Thus, LCM of Fractions is 107398500.Finally, LCM of Fractions for 500/34, 506/50, 849/859 is 107398500.