Least Common Multiple of 765/19, 685/6253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/19, 685/6253 quickly i.e. 104805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/19, 685/6253 is 104805.

LCM(765/19, 685/6253) = 104805

LCM of 765/19, 685/6253

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 765/19,685/6253

Given numbers are 765/19,685/6253

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 765,685

Least Common Multiple of Numerators i.e. LCM of 765,685 is 104805.

GCF of Denominators means GCF of 19,6253 as per the given fractions.

GCF of 19,6253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,685

LCM of Fractions 765/19,685/6253 is 104805

5 765, 685
153, 137

∴ So the LCM of the given numbers is 5 x 153 x 137 = 104805

Least Common Multiple of 765,685 with GCF Formula

Least Common Multiple of 765,685 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 765,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,685) = 5

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

GCF(765,685) x common factors =5 x 1 = 5

LCM(765,685) = ( 765 × 685 ) / 5

LCM(765,685) = 524025 / 5

LCM(765,685) = 104805


Lets's calculate GCF of 19,6253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104805/1

Therefore the LCM of Fractions 765/19,685/6253 is 104805

Greatest Common Factor of 19,6253 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,6253 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 6253

List of positive integer factors of 6253 that divides 6253 without a remainder.

1,13,37,169,481,6253

Greatest Common Factor

We found the factors 19,6253 . The biggest common factor number is the GCF number.
So the greatest common factor 19,6253 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 765/19, 685/6253

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 765/19, 685/6253?

Answer: LCM of Numerators as per given numbers 765/19, 685/6253 is

LCM of Numerators i.e. for 765,685 is 104805

GCF of denominators i.e. for 19,6253 is 1.

Thus, LCM of Fractions is 104805.Finally, LCM of Fractions for 765/19, 685/6253 is 104805.