Least Common Multiple of 787/502, 632/304, 105/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 787/502, 632/304, 105/308 quickly i.e. 26112660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 787/502, 632/304, 105/308 is 26112660.

LCM(787/502, 632/304, 105/308) = 26112660

LCM of 787/502, 632/304, 105/308

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 787/502,632/304,105/308

Given numbers are 787/502,632/304,105/308

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 787,632,105

Least Common Multiple of Numerators i.e. LCM of 787,632,105 is 52225320.

GCF of Denominators means GCF of 502,304,308 as per the given fractions.

GCF of 502,304,308 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 787,632,105

LCM of Fractions 787/502,632/304,105/308 is 26112660

Given numbers has no common factors except 1. So, there LCM is their product i.e 52225320

Least Common Multiple of 787,632,105 with GCF Formula

Least Common Multiple of 787,632,105 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 787,632,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(787,632,105) = 1

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

GCF(787,632,105) x common factors =1 x 1 = 1

LCM(787,632,105) = ( 787 × 632 × 105 ) / 1

LCM(787,632,105) = 52225320 / 1

LCM(787,632,105) = 52225320


Lets's calculate GCF of 502,304,308

2 502, 304, 308
251, 152, 154

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52225320/2

Therefore the LCM of Fractions 787/502,632/304,105/308 is 26112660

Greatest Common Factor of 502,304,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,304,308 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 502,304,308 . The biggest common factor number is the GCF number.
So the greatest common factor 502,304,308 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 787/502, 632/304, 105/308

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 787/502, 632/304, 105/308?

Answer: LCM of Numerators as per given numbers 787/502, 632/304, 105/308 is

LCM of Numerators i.e. for 787,632,105 is 52225320

GCF of denominators i.e. for 502,304,308 is 2.

Thus, LCM of Fractions is 26112660.Finally, LCM of Fractions for 787/502, 632/304, 105/308 is 26112660.