Least Common Multiple of 506/756, 679/803, 362/834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/756, 679/803, 362/834 quickly i.e. 62186894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/756, 679/803, 362/834 is 62186894.

LCM(506/756, 679/803, 362/834) = 62186894

LCM of 506/756, 679/803, 362/834

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 506/756,679/803,362/834

Given numbers are 506/756,679/803,362/834

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 506,679,362

Least Common Multiple of Numerators i.e. LCM of 506,679,362 is 62186894.

GCF of Denominators means GCF of 756,803,834 as per the given fractions.

GCF of 756,803,834 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,679,362

LCM of Fractions 506/756,679/803,362/834 is 62186894

2 506, 679, 362
253, 679, 181

∴ So the LCM of the given numbers is 2 x 253 x 679 x 181 = 62186894

Least Common Multiple of 506,679,362 with GCF Formula

Least Common Multiple of 506,679,362 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 506,679,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,679,362) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(506,679,362) x common factors =1 x 2 = 2

LCM(506,679,362) = ( 506 × 679 × 362 ) / 2

LCM(506,679,362) = 124373788 / 2

LCM(506,679,362) = 62186894


Lets's calculate GCF of 756,803,834

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62186894/1

Therefore the LCM of Fractions 506/756,679/803,362/834 is 62186894

Greatest Common Factor of 756,803,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,803,834 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 756,803,834 . The biggest common factor number is the GCF number.
So the greatest common factor 756,803,834 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 506/756, 679/803, 362/834

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 506/756, 679/803, 362/834?

Answer: LCM of Numerators as per given numbers 506/756, 679/803, 362/834 is

LCM of Numerators i.e. for 506,679,362 is 62186894

GCF of denominators i.e. for 756,803,834 is 1.

Thus, LCM of Fractions is 62186894.Finally, LCM of Fractions for 506/756, 679/803, 362/834 is 62186894.