Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 642/562, 4128/9048 quickly i.e. 220848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 642/562, 4128/9048 is 220848.
LCM(642/562, 4128/9048) = 220848
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 642/562,4128/9048
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 642,4128
Least Common Multiple of Numerators i.e. LCM of 642,4128 is 441696.
GCF of Denominators means GCF of 562,9048 as per the given fractions.
GCF of 562,9048 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 642,4128
2 | 642, 4128 |
3 | 321, 2064 |
107, 688 |
∴ So the LCM of the given numbers is 2 x 3 x 107 x 688 = 441696
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 642,4128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,4128) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(642,4128) x common factors =6 x 1 = 6
LCM(642,4128) = ( 642 × 4128 ) / 6
LCM(642,4128) = 2650176 / 6
LCM(642,4128) = 441696
Lets's calculate GCF of 562,9048
2 | 562, 9048 |
281, 4524 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 441696/2
Therefore the LCM of Fractions 642/562,4128/9048 is 220848
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 9048
List of positive integer factors of 9048 that divides 9048 without a remainder.
1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048
Greatest Common Factor
We found the factors 562,9048 . The biggest common factor number is the GCF number.
So the greatest common factor 562,9048 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 642/562, 4128/9048?
Answer: LCM of Numerators as per given numbers 642/562, 4128/9048 is
LCM of Numerators i.e. for 642,4128 is 441696
GCF of denominators i.e. for 562,9048 is 2.
Thus, LCM of Fractions is 220848.Finally, LCM of Fractions for 642/562, 4128/9048 is 220848.