Least Common Multiple of 699/85, 514/5938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 699/85, 514/5938 quickly i.e. 359286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 699/85, 514/5938 is 359286.

LCM(699/85, 514/5938) = 359286

LCM of 699/85, 514/5938

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 699/85,514/5938

Given numbers are 699/85,514/5938

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 699,514

Least Common Multiple of Numerators i.e. LCM of 699,514 is 359286.

GCF of Denominators means GCF of 85,5938 as per the given fractions.

GCF of 85,5938 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 699,514

LCM of Fractions 699/85,514/5938 is 359286

Given numbers has no common factors except 1. So, there LCM is their product i.e 359286

Least Common Multiple of 699,514 with GCF Formula

Least Common Multiple of 699,514 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 699,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,514) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(699,514) x common factors =1 x 1 = 1

LCM(699,514) = ( 699 × 514 ) / 1

LCM(699,514) = 359286 / 1

LCM(699,514) = 359286


Lets's calculate GCF of 85,5938

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359286/1

Therefore the LCM of Fractions 699/85,514/5938 is 359286

Greatest Common Factor of 85,5938 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,5938 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 5938

List of positive integer factors of 5938 that divides 5938 without a remainder.

1,2,2969,5938

Greatest Common Factor

We found the factors 85,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 85,5938 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 699/85, 514/5938

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 699/85, 514/5938?

Answer: LCM of Numerators as per given numbers 699/85, 514/5938 is

LCM of Numerators i.e. for 699,514 is 359286

GCF of denominators i.e. for 85,5938 is 1.

Thus, LCM of Fractions is 359286.Finally, LCM of Fractions for 699/85, 514/5938 is 359286.