Least Common Multiple of 766/84, 506/6507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/84, 506/6507 quickly i.e. 193798/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/84, 506/6507 is 193798/3.

LCM(766/84, 506/6507) = 193798/3

LCM of 766/84, 506/6507

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 766/84,506/6507

Given numbers are 766/84,506/6507

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 766,506

Least Common Multiple of Numerators i.e. LCM of 766,506 is 193798.

GCF of Denominators means GCF of 84,6507 as per the given fractions.

GCF of 84,6507 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,506

LCM of Fractions 766/84,506/6507 is 193798/3

2 766, 506
383, 253

∴ So the LCM of the given numbers is 2 x 383 x 253 = 193798

Least Common Multiple of 766,506 with GCF Formula

Least Common Multiple of 766,506 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 766,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,506) = 2

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

GCF(766,506) x common factors =2 x 1 = 2

LCM(766,506) = ( 766 × 506 ) / 2

LCM(766,506) = 387596 / 2

LCM(766,506) = 193798


Lets's calculate GCF of 84,6507

3 84, 6507
28, 2169

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193798/3

Therefore the LCM of Fractions 766/84,506/6507 is 193798/3

Greatest Common Factor of 84,6507 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,6507 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 6507

List of positive integer factors of 6507 that divides 6507 without a remainder.

1,3,9,27,241,723,2169,6507

Greatest Common Factor

We found the factors 84,6507 . The biggest common factor number is the GCF number.
So the greatest common factor 84,6507 is 3.


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 766/84, 506/6507

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 766/84, 506/6507?

Answer: LCM of Numerators as per given numbers 766/84, 506/6507 is

LCM of Numerators i.e. for 766,506 is 193798

GCF of denominators i.e. for 84,6507 is 3.

Thus, LCM of Fractions is 193798/3.Finally, LCM of Fractions for 766/84, 506/6507 is 193798/3.