Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/220, 859/592, 138/914 quickly i.e. 889065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/220, 859/592, 138/914 is 889065.
LCM(90/220, 859/592, 138/914) = 889065
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/220,859/592,138/914
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 90,859,138
Least Common Multiple of Numerators i.e. LCM of 90,859,138 is 1778130.
GCF of Denominators means GCF of 220,592,914 as per the given fractions.
GCF of 220,592,914 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,859,138
2 | 90, 859, 138 |
3 | 45, 859, 69 |
15, 859, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 859 x 23 = 1778130
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 90,859,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,859,138) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(90,859,138) x common factors =1 x 6 = 6
LCM(90,859,138) = ( 90 × 859 × 138 ) / 6
LCM(90,859,138) = 10668780 / 6
LCM(90,859,138) = 1778130
Lets's calculate GCF of 220,592,914
2 | 220, 592, 914 |
110, 296, 457 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1778130/2
Therefore the LCM of Fractions 90/220,859/592,138/914 is 889065
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
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 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 220,592,914 . The biggest common factor number is the GCF number.
So the greatest common factor 220,592,914 is 2.
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 90/220, 859/592, 138/914?
Answer: LCM of Numerators as per given numbers 90/220, 859/592, 138/914 is
LCM of Numerators i.e. for 90,859,138 is 1778130
GCF of denominators i.e. for 220,592,914 is 2.
Thus, LCM of Fractions is 889065.Finally, LCM of Fractions for 90/220, 859/592, 138/914 is 889065.