Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 612/421, 918/597, 114/432 quickly i.e. 34884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 612/421, 918/597, 114/432 is 34884.
LCM(612/421, 918/597, 114/432) = 34884
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 612/421,918/597,114/432
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 612,918,114
Least Common Multiple of Numerators i.e. LCM of 612,918,114 is 34884.
GCF of Denominators means GCF of 421,597,432 as per the given fractions.
GCF of 421,597,432 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 612,918,114
2 | 612, 918, 114 |
3 | 306, 459, 57 |
3 | 102, 153, 19 |
17 | 34, 51, 19 |
2, 3, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 17 x 2 x 3 x 19 = 34884
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 612,918,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,918,114) = 6
common factors(in case of two or more numbers have common factors) = 306
GCF(612,918,114) x common factors =6 x 306 = 1836
LCM(612,918,114) = ( 612 × 918 × 114 ) / 1836
LCM(612,918,114) = 64047024 / 1836
LCM(612,918,114) = 34884
Lets's calculate GCF of 421,597,432
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34884/1
Therefore the LCM of Fractions 612/421,918/597,114/432 is 34884
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 421,597,432 . The biggest common factor number is the GCF number.
So the greatest common factor 421,597,432 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 612/421, 918/597, 114/432?
Answer: LCM of Numerators as per given numbers 612/421, 918/597, 114/432 is
LCM of Numerators i.e. for 612,918,114 is 34884
GCF of denominators i.e. for 421,597,432 is 1.
Thus, LCM of Fractions is 34884.Finally, LCM of Fractions for 612/421, 918/597, 114/432 is 34884.