Least Common Multiple of 638/796, 506/906, 365/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 638/796, 506/906, 365/678 quickly i.e. 2678005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/796, 506/906, 365/678 is 2678005.

LCM(638/796, 506/906, 365/678) = 2678005

LCM of 638/796, 506/906, 365/678

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 638/796,506/906,365/678

Given numbers are 638/796,506/906,365/678

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 638,506,365

Least Common Multiple of Numerators i.e. LCM of 638,506,365 is 5356010.

GCF of Denominators means GCF of 796,906,678 as per the given fractions.

GCF of 796,906,678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,506,365

LCM of Fractions 638/796,506/906,365/678 is 2678005

2 638, 506, 365
11 319, 253, 365
29, 23, 365

∴ So the LCM of the given numbers is 2 x 11 x 29 x 23 x 365 = 5356010

Least Common Multiple of 638,506,365 with GCF Formula

Least Common Multiple of 638,506,365 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 638,506,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,506,365) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(638,506,365) x common factors =1 x 22 = 22

LCM(638,506,365) = ( 638 × 506 × 365 ) / 22

LCM(638,506,365) = 117832220 / 22

LCM(638,506,365) = 5356010


Lets's calculate GCF of 796,906,678

2 796, 906, 678
398, 453, 339

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5356010/2

Therefore the LCM of Fractions 638/796,506/906,365/678 is 2678005

Greatest Common Factor of 796,906,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,906,678 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 796,906,678 . The biggest common factor number is the GCF number.
So the greatest common factor 796,906,678 is 2.


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 638/796, 506/906, 365/678

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 638/796, 506/906, 365/678?

Answer: LCM of Numerators as per given numbers 638/796, 506/906, 365/678 is

LCM of Numerators i.e. for 638,506,365 is 5356010

GCF of denominators i.e. for 796,906,678 is 2.

Thus, LCM of Fractions is 2678005.Finally, LCM of Fractions for 638/796, 506/906, 365/678 is 2678005.