Least Common Multiple of 685/34, 757/75, 207/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/34, 757/75, 207/439 quickly i.e. 107338815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/34, 757/75, 207/439 is 107338815.

LCM(685/34, 757/75, 207/439) = 107338815

LCM of 685/34, 757/75, 207/439

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 685/34,757/75,207/439

Given numbers are 685/34,757/75,207/439

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 685,757,207

Least Common Multiple of Numerators i.e. LCM of 685,757,207 is 107338815.

GCF of Denominators means GCF of 34,75,439 as per the given fractions.

GCF of 34,75,439 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,757,207

LCM of Fractions 685/34,757/75,207/439 is 107338815

Given numbers has no common factors except 1. So, there LCM is their product i.e 107338815

Least Common Multiple of 685,757,207 with GCF Formula

Least Common Multiple of 685,757,207 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 685,757,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,757,207) = 1

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

GCF(685,757,207) x common factors =1 x 1 = 1

LCM(685,757,207) = ( 685 × 757 × 207 ) / 1

LCM(685,757,207) = 107338815 / 1

LCM(685,757,207) = 107338815


Lets's calculate GCF of 34,75,439

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107338815/1

Therefore the LCM of Fractions 685/34,757/75,207/439 is 107338815

Greatest Common Factor of 34,75,439 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,75,439 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Greatest Common Factor

We found the factors 34,75,439 . The biggest common factor number is the GCF number.
So the greatest common factor 34,75,439 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 685/34, 757/75, 207/439

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 685/34, 757/75, 207/439?

Answer: LCM of Numerators as per given numbers 685/34, 757/75, 207/439 is

LCM of Numerators i.e. for 685,757,207 is 107338815

GCF of denominators i.e. for 34,75,439 is 1.

Thus, LCM of Fractions is 107338815.Finally, LCM of Fractions for 685/34, 757/75, 207/439 is 107338815.