Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 854/757, 973/592, 102/358 quickly i.e. 6054006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 854/757, 973/592, 102/358 is 6054006.
LCM(854/757, 973/592, 102/358) = 6054006
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 854/757,973/592,102/358
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 854,973,102
Least Common Multiple of Numerators i.e. LCM of 854,973,102 is 6054006.
GCF of Denominators means GCF of 757,592,358 as per the given fractions.
GCF of 757,592,358 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 854,973,102
2 | 854, 973, 102 |
7 | 427, 973, 51 |
61, 139, 51 |
∴ So the LCM of the given numbers is 2 x 7 x 61 x 139 x 51 = 6054006
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 854,973,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,973,102) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(854,973,102) x common factors =1 x 14 = 14
LCM(854,973,102) = ( 854 × 973 × 102 ) / 14
LCM(854,973,102) = 84756084 / 14
LCM(854,973,102) = 6054006
Lets's calculate GCF of 757,592,358
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6054006/1
Therefore the LCM of Fractions 854/757,973/592,102/358 is 6054006
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Greatest Common Factor
We found the factors 757,592,358 . The biggest common factor number is the GCF number.
So the greatest common factor 757,592,358 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 854/757, 973/592, 102/358?
Answer: LCM of Numerators as per given numbers 854/757, 973/592, 102/358 is
LCM of Numerators i.e. for 854,973,102 is 6054006
GCF of denominators i.e. for 757,592,358 is 1.
Thus, LCM of Fractions is 6054006.Finally, LCM of Fractions for 854/757, 973/592, 102/358 is 6054006.