Least Common Multiple of 124/34, 109/10, 755/69

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 124/34, 109/10, 755/69 quickly i.e. 10204580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 124/34, 109/10, 755/69 is 10204580.

LCM(124/34, 109/10, 755/69) = 10204580

LCM of 124/34, 109/10, 755/69

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 124/34,109/10,755/69

Given numbers are 124/34,109/10,755/69

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 124,109,755

Least Common Multiple of Numerators i.e. LCM of 124,109,755 is 10204580.

GCF of Denominators means GCF of 34,10,69 as per the given fractions.

GCF of 34,10,69 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 124,109,755

LCM of Fractions 124/34,109/10,755/69 is 10204580

Given numbers has no common factors except 1. So, there LCM is their product i.e 10204580

Least Common Multiple of 124,109,755 with GCF Formula

Least Common Multiple of 124,109,755 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 124,109,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(124,109,755) = 1

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

GCF(124,109,755) x common factors =1 x 1 = 1

LCM(124,109,755) = ( 124 × 109 × 755 ) / 1

LCM(124,109,755) = 10204580 / 1

LCM(124,109,755) = 10204580


Lets's calculate GCF of 34,10,69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10204580/1

Therefore the LCM of Fractions 124/34,109/10,755/69 is 10204580

Greatest Common Factor of 34,10,69 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,10,69 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 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Greatest Common Factor

We found the factors 34,10,69 . The biggest common factor number is the GCF number.
So the greatest common factor 34,10,69 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 124/34, 109/10, 755/69

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 124/34, 109/10, 755/69?

Answer: LCM of Numerators as per given numbers 124/34, 109/10, 755/69 is

LCM of Numerators i.e. for 124,109,755 is 10204580

GCF of denominators i.e. for 34,10,69 is 1.

Thus, LCM of Fractions is 10204580.Finally, LCM of Fractions for 124/34, 109/10, 755/69 is 10204580.