Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 840/22, 695/33, 255/846 quickly i.e. 1984920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 840/22, 695/33, 255/846 is 1984920.
LCM(840/22, 695/33, 255/846) = 1984920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 840/22,695/33,255/846
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 840,695,255
Least Common Multiple of Numerators i.e. LCM of 840,695,255 is 1984920.
GCF of Denominators means GCF of 22,33,846 as per the given fractions.
GCF of 22,33,846 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 840,695,255
3 | 840, 695, 255 |
5 | 280, 695, 85 |
56, 139, 17 |
∴ So the LCM of the given numbers is 3 x 5 x 56 x 139 x 17 = 1984920
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 840,695,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,695,255) = 5
common factors(in case of two or more numbers have common factors) = 15
GCF(840,695,255) x common factors =5 x 15 = 75
LCM(840,695,255) = ( 840 × 695 × 255 ) / 75
LCM(840,695,255) = 148869000 / 75
LCM(840,695,255) = 1984920
Lets's calculate GCF of 22,33,846
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1984920/1
Therefore the LCM of Fractions 840/22,695/33,255/846 is 1984920
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 22,33,846 . The biggest common factor number is the GCF number.
So the greatest common factor 22,33,846 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 840/22, 695/33, 255/846?
Answer: LCM of Numerators as per given numbers 840/22, 695/33, 255/846 is
LCM of Numerators i.e. for 840,695,255 is 1984920
GCF of denominators i.e. for 22,33,846 is 1.
Thus, LCM of Fractions is 1984920.Finally, LCM of Fractions for 840/22, 695/33, 255/846 is 1984920.