Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/50, 47/690, 962/922 quickly i.e. 791245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/50, 47/690, 962/922 is 791245.
LCM(70/50, 47/690, 962/922) = 791245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/50,47/690,962/922
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 70,47,962
Least Common Multiple of Numerators i.e. LCM of 70,47,962 is 1582490.
GCF of Denominators means GCF of 50,690,922 as per the given fractions.
GCF of 50,690,922 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,47,962
2 | 70, 47, 962 |
35, 47, 481 |
∴ So the LCM of the given numbers is 2 x 35 x 47 x 481 = 1582490
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 70,47,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,47,962) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(70,47,962) x common factors =1 x 2 = 2
LCM(70,47,962) = ( 70 × 47 × 962 ) / 2
LCM(70,47,962) = 3164980 / 2
LCM(70,47,962) = 1582490
Lets's calculate GCF of 50,690,922
2 | 50, 690, 922 |
25, 345, 461 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1582490/2
Therefore the LCM of Fractions 70/50,47/690,962/922 is 791245
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 50,690,922 . The biggest common factor number is the GCF number.
So the greatest common factor 50,690,922 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 70/50, 47/690, 962/922?
Answer: LCM of Numerators as per given numbers 70/50, 47/690, 962/922 is
LCM of Numerators i.e. for 70,47,962 is 1582490
GCF of denominators i.e. for 50,690,922 is 2.
Thus, LCM of Fractions is 791245.Finally, LCM of Fractions for 70/50, 47/690, 962/922 is 791245.