Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 978/84, 592/58, 824/412 quickly i.e. 14908632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 978/84, 592/58, 824/412 is 14908632.
LCM(978/84, 592/58, 824/412) = 14908632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 978/84,592/58,824/412
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 978,592,824
Least Common Multiple of Numerators i.e. LCM of 978,592,824 is 29817264.
GCF of Denominators means GCF of 84,58,412 as per the given fractions.
GCF of 84,58,412 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 978,592,824
2 | 978, 592, 824 |
2 | 489, 296, 412 |
2 | 489, 148, 206 |
489, 74, 103 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 489 x 74 x 103 = 29817264
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 978,592,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,592,824) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(978,592,824) x common factors =2 x 8 = 16
LCM(978,592,824) = ( 978 × 592 × 824 ) / 16
LCM(978,592,824) = 477076224 / 16
LCM(978,592,824) = 29817264
Lets's calculate GCF of 84,58,412
2 | 84, 58, 412 |
42, 29, 206 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29817264/2
Therefore the LCM of Fractions 978/84,592/58,824/412 is 14908632
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Greatest Common Factor
We found the factors 84,58,412 . The biggest common factor number is the GCF number.
So the greatest common factor 84,58,412 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 978/84, 592/58, 824/412?
Answer: LCM of Numerators as per given numbers 978/84, 592/58, 824/412 is
LCM of Numerators i.e. for 978,592,824 is 29817264
GCF of denominators i.e. for 84,58,412 is 2.
Thus, LCM of Fractions is 14908632.Finally, LCM of Fractions for 978/84, 592/58, 824/412 is 14908632.