Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/35, 348/21, 523/902 quickly i.e. 4004088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/35, 348/21, 523/902 is 4004088.
LCM(88/35, 348/21, 523/902) = 4004088
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/35,348/21,523/902
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 88,348,523
Least Common Multiple of Numerators i.e. LCM of 88,348,523 is 4004088.
GCF of Denominators means GCF of 35,21,902 as per the given fractions.
GCF of 35,21,902 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,348,523
2 | 88, 348, 523 |
2 | 44, 174, 523 |
22, 87, 523 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 87 x 523 = 4004088
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 88,348,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,348,523) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(88,348,523) x common factors =1 x 4 = 4
LCM(88,348,523) = ( 88 × 348 × 523 ) / 4
LCM(88,348,523) = 16016352 / 4
LCM(88,348,523) = 4004088
Lets's calculate GCF of 35,21,902
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4004088/1
Therefore the LCM of Fractions 88/35,348/21,523/902 is 4004088
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 35,21,902 . The biggest common factor number is the GCF number.
So the greatest common factor 35,21,902 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 88/35, 348/21, 523/902?
Answer: LCM of Numerators as per given numbers 88/35, 348/21, 523/902 is
LCM of Numerators i.e. for 88,348,523 is 4004088
GCF of denominators i.e. for 35,21,902 is 1.
Thus, LCM of Fractions is 4004088.Finally, LCM of Fractions for 88/35, 348/21, 523/902 is 4004088.