Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/950, 30/822, 824/694 quickly i.e. 43260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/950, 30/822, 824/694 is 43260.
LCM(70/950, 30/822, 824/694) = 43260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/950,30/822,824/694
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 70,30,824
Least Common Multiple of Numerators i.e. LCM of 70,30,824 is 86520.
GCF of Denominators means GCF of 950,822,694 as per the given fractions.
GCF of 950,822,694 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,30,824
2 | 70, 30, 824 |
5 | 35, 15, 412 |
7, 3, 412 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 3 x 412 = 86520
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 70,30,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,30,824) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(70,30,824) x common factors =2 x 10 = 20
LCM(70,30,824) = ( 70 × 30 × 824 ) / 20
LCM(70,30,824) = 1730400 / 20
LCM(70,30,824) = 86520
Lets's calculate GCF of 950,822,694
2 | 950, 822, 694 |
475, 411, 347 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86520/2
Therefore the LCM of Fractions 70/950,30/822,824/694 is 43260
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 950,822,694 . The biggest common factor number is the GCF number.
So the greatest common factor 950,822,694 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 70/950, 30/822, 824/694?
Answer: LCM of Numerators as per given numbers 70/950, 30/822, 824/694 is
LCM of Numerators i.e. for 70,30,824 is 86520
GCF of denominators i.e. for 950,822,694 is 2.
Thus, LCM of Fractions is 43260.Finally, LCM of Fractions for 70/950, 30/822, 824/694 is 43260.