Least Common Multiple of 100/115, 504/294, 207/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/115, 504/294, 207/308 quickly i.e. 289800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/115, 504/294, 207/308 is 289800.

LCM(100/115, 504/294, 207/308) = 289800

LCM of 100/115, 504/294, 207/308

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 100/115,504/294,207/308

Given numbers are 100/115,504/294,207/308

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 100,504,207

Least Common Multiple of Numerators i.e. LCM of 100,504,207 is 289800.

GCF of Denominators means GCF of 115,294,308 as per the given fractions.

GCF of 115,294,308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,504,207

LCM of Fractions 100/115,504/294,207/308 is 289800

2 100, 504, 207
2 50, 252, 207
3 25, 126, 207
3 25, 42, 69
25, 14, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 25 x 14 x 23 = 289800

Least Common Multiple of 100,504,207 with GCF Formula

Least Common Multiple of 100,504,207 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 100,504,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,504,207) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(100,504,207) x common factors =1 x 36 = 36

LCM(100,504,207) = ( 100 × 504 × 207 ) / 36

LCM(100,504,207) = 10432800 / 36

LCM(100,504,207) = 289800


Lets's calculate GCF of 115,294,308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289800/1

Therefore the LCM of Fractions 100/115,504/294,207/308 is 289800

Greatest Common Factor of 115,294,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 115,294,308 By Matching Biggest Common Factor Method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

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 115,294,308 . The biggest common factor number is the GCF number.
So the greatest common factor 115,294,308 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 100/115, 504/294, 207/308

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 100/115, 504/294, 207/308?

Answer: LCM of Numerators as per given numbers 100/115, 504/294, 207/308 is

LCM of Numerators i.e. for 100,504,207 is 289800

GCF of denominators i.e. for 115,294,308 is 1.

Thus, LCM of Fractions is 289800.Finally, LCM of Fractions for 100/115, 504/294, 207/308 is 289800.