Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 902/88, 990/70, 646/158 quickly i.e. 6555285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 902/88, 990/70, 646/158 is 6555285.
LCM(902/88, 990/70, 646/158) = 6555285
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 902/88,990/70,646/158
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 902,990,646
Least Common Multiple of Numerators i.e. LCM of 902,990,646 is 13110570.
GCF of Denominators means GCF of 88,70,158 as per the given fractions.
GCF of 88,70,158 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 902,990,646
2 | 902, 990, 646 |
11 | 451, 495, 323 |
41, 45, 323 |
∴ So the LCM of the given numbers is 2 x 11 x 41 x 45 x 323 = 13110570
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 902,990,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,990,646) = 2
common factors(in case of two or more numbers have common factors) = 22
GCF(902,990,646) x common factors =2 x 22 = 44
LCM(902,990,646) = ( 902 × 990 × 646 ) / 44
LCM(902,990,646) = 576865080 / 44
LCM(902,990,646) = 13110570
Lets's calculate GCF of 88,70,158
2 | 88, 70, 158 |
44, 35, 79 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13110570/2
Therefore the LCM of Fractions 902/88,990/70,646/158 is 6555285
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
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 88,70,158 . The biggest common factor number is the GCF number.
So the greatest common factor 88,70,158 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 902/88, 990/70, 646/158?
Answer: LCM of Numerators as per given numbers 902/88, 990/70, 646/158 is
LCM of Numerators i.e. for 902,990,646 is 13110570
GCF of denominators i.e. for 88,70,158 is 2.
Thus, LCM of Fractions is 6555285.Finally, LCM of Fractions for 902/88, 990/70, 646/158 is 6555285.