Least Common Multiple of 340/66, 850/39, 469/514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/66, 850/39, 469/514 quickly i.e. 797300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/66, 850/39, 469/514 is 797300.

LCM(340/66, 850/39, 469/514) = 797300

LCM of 340/66, 850/39, 469/514

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 340/66,850/39,469/514

Given numbers are 340/66,850/39,469/514

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 340,850,469

Least Common Multiple of Numerators i.e. LCM of 340,850,469 is 797300.

GCF of Denominators means GCF of 66,39,514 as per the given fractions.

GCF of 66,39,514 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,850,469

LCM of Fractions 340/66,850/39,469/514 is 797300

2 340, 850, 469
5 170, 425, 469
17 34, 85, 469
2, 5, 469

∴ So the LCM of the given numbers is 2 x 5 x 17 x 2 x 5 x 469 = 797300

Least Common Multiple of 340,850,469 with GCF Formula

Least Common Multiple of 340,850,469 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 340,850,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,850,469) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(340,850,469) x common factors =1 x 170 = 170

LCM(340,850,469) = ( 340 × 850 × 469 ) / 170

LCM(340,850,469) = 135541000 / 170

LCM(340,850,469) = 797300


Lets's calculate GCF of 66,39,514

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 797300/1

Therefore the LCM of Fractions 340/66,850/39,469/514 is 797300

Greatest Common Factor of 66,39,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,39,514 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 66,39,514 . The biggest common factor number is the GCF number.
So the greatest common factor 66,39,514 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 340/66, 850/39, 469/514

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 340/66, 850/39, 469/514?

Answer: LCM of Numerators as per given numbers 340/66, 850/39, 469/514 is

LCM of Numerators i.e. for 340,850,469 is 797300

GCF of denominators i.e. for 66,39,514 is 1.

Thus, LCM of Fractions is 797300.Finally, LCM of Fractions for 340/66, 850/39, 469/514 is 797300.