Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 222/18, 637/88, 903/70 quickly i.e. 3040401 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 222/18, 637/88, 903/70 is 3040401.
LCM(222/18, 637/88, 903/70) = 3040401
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 222/18,637/88,903/70
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 222,637,903
Least Common Multiple of Numerators i.e. LCM of 222,637,903 is 6080802.
GCF of Denominators means GCF of 18,88,70 as per the given fractions.
GCF of 18,88,70 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 222,637,903
3 | 222, 637, 903 |
7 | 74, 637, 301 |
74, 91, 43 |
∴ So the LCM of the given numbers is 3 x 7 x 74 x 91 x 43 = 6080802
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 222,637,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,637,903) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(222,637,903) x common factors =1 x 21 = 21
LCM(222,637,903) = ( 222 × 637 × 903 ) / 21
LCM(222,637,903) = 127696842 / 21
LCM(222,637,903) = 6080802
Lets's calculate GCF of 18,88,70
2 | 18, 88, 70 |
9, 44, 35 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6080802/2
Therefore the LCM of Fractions 222/18,637/88,903/70 is 3040401
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Greatest Common Factor
We found the factors 18,88,70 . The biggest common factor number is the GCF number.
So the greatest common factor 18,88,70 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 222/18, 637/88, 903/70?
Answer: LCM of Numerators as per given numbers 222/18, 637/88, 903/70 is
LCM of Numerators i.e. for 222,637,903 is 6080802
GCF of denominators i.e. for 18,88,70 is 2.
Thus, LCM of Fractions is 3040401.Finally, LCM of Fractions for 222/18, 637/88, 903/70 is 3040401.