Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/63, 948/35, 639/423 quickly i.e. 3432708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/63, 948/35, 639/423 is 3432708.
LCM(34/63, 948/35, 639/423) = 3432708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/63,948/35,639/423
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 34,948,639
Least Common Multiple of Numerators i.e. LCM of 34,948,639 is 3432708.
GCF of Denominators means GCF of 63,35,423 as per the given fractions.
GCF of 63,35,423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,948,639
2 | 34, 948, 639 |
3 | 17, 474, 639 |
17, 158, 213 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 158 x 213 = 3432708
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 34,948,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,948,639) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(34,948,639) x common factors =1 x 6 = 6
LCM(34,948,639) = ( 34 × 948 × 639 ) / 6
LCM(34,948,639) = 20596248 / 6
LCM(34,948,639) = 3432708
Lets's calculate GCF of 63,35,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3432708/1
Therefore the LCM of Fractions 34/63,948/35,639/423 is 3432708
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 63,35,423 . The biggest common factor number is the GCF number.
So the greatest common factor 63,35,423 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 34/63, 948/35, 639/423?
Answer: LCM of Numerators as per given numbers 34/63, 948/35, 639/423 is
LCM of Numerators i.e. for 34,948,639 is 3432708
GCF of denominators i.e. for 63,35,423 is 1.
Thus, LCM of Fractions is 3432708.Finally, LCM of Fractions for 34/63, 948/35, 639/423 is 3432708.