Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/858, 944/109, 544/335 quickly i.e. 2407200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/858, 944/109, 544/335 is 2407200.
LCM(75/858, 944/109, 544/335) = 2407200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/858,944/109,544/335
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 75,944,544
Least Common Multiple of Numerators i.e. LCM of 75,944,544 is 2407200.
GCF of Denominators means GCF of 858,109,335 as per the given fractions.
GCF of 858,109,335 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,944,544
2 | 75, 944, 544 |
2 | 75, 472, 272 |
2 | 75, 236, 136 |
2 | 75, 118, 68 |
75, 59, 34 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 75 x 59 x 34 = 2407200
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 75,944,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,944,544) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(75,944,544) x common factors =1 x 16 = 16
LCM(75,944,544) = ( 75 × 944 × 544 ) / 16
LCM(75,944,544) = 38515200 / 16
LCM(75,944,544) = 2407200
Lets's calculate GCF of 858,109,335
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2407200/1
Therefore the LCM of Fractions 75/858,944/109,544/335 is 2407200
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 858,109,335 . The biggest common factor number is the GCF number.
So the greatest common factor 858,109,335 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 75/858, 944/109, 544/335?
Answer: LCM of Numerators as per given numbers 75/858, 944/109, 544/335 is
LCM of Numerators i.e. for 75,944,544 is 2407200
GCF of denominators i.e. for 858,109,335 is 1.
Thus, LCM of Fractions is 2407200.Finally, LCM of Fractions for 75/858, 944/109, 544/335 is 2407200.