Least Common Multiple of 514/83, 770/6985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/83, 770/6985 quickly i.e. 197890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/83, 770/6985 is 197890.

LCM(514/83, 770/6985) = 197890

LCM of 514/83, 770/6985

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 514/83,770/6985

Given numbers are 514/83,770/6985

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 514,770

Least Common Multiple of Numerators i.e. LCM of 514,770 is 197890.

GCF of Denominators means GCF of 83,6985 as per the given fractions.

GCF of 83,6985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,770

LCM of Fractions 514/83,770/6985 is 197890

2 514, 770
257, 385

∴ So the LCM of the given numbers is 2 x 257 x 385 = 197890

Least Common Multiple of 514,770 with GCF Formula

Least Common Multiple of 514,770 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 514,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,770) = 2

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

GCF(514,770) x common factors =2 x 1 = 2

LCM(514,770) = ( 514 × 770 ) / 2

LCM(514,770) = 395780 / 2

LCM(514,770) = 197890


Lets's calculate GCF of 83,6985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197890/1

Therefore the LCM of Fractions 514/83,770/6985 is 197890

Greatest Common Factor of 83,6985 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,6985 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 6985

List of positive integer factors of 6985 that divides 6985 without a remainder.

1,5,11,55,127,635,1397,6985

Greatest Common Factor

We found the factors 83,6985 . The biggest common factor number is the GCF number.
So the greatest common factor 83,6985 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 514/83, 770/6985

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 514/83, 770/6985?

Answer: LCM of Numerators as per given numbers 514/83, 770/6985 is

LCM of Numerators i.e. for 514,770 is 197890

GCF of denominators i.e. for 83,6985 is 1.

Thus, LCM of Fractions is 197890.Finally, LCM of Fractions for 514/83, 770/6985 is 197890.