Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/70, 996/40, 145/900 quickly i.e. 101094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/70, 996/40, 145/900 is 101094.
LCM(21/70, 996/40, 145/900) = 101094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/70,996/40,145/900
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 21,996,145
Least Common Multiple of Numerators i.e. LCM of 21,996,145 is 1010940.
GCF of Denominators means GCF of 70,40,900 as per the given fractions.
GCF of 70,40,900 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,996,145
3 | 21, 996, 145 |
7, 332, 145 |
∴ So the LCM of the given numbers is 3 x 7 x 332 x 145 = 1010940
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 21,996,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,996,145) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,996,145) x common factors =1 x 3 = 3
LCM(21,996,145) = ( 21 × 996 × 145 ) / 3
LCM(21,996,145) = 3032820 / 3
LCM(21,996,145) = 1010940
Lets's calculate GCF of 70,40,900
2 | 70, 40, 900 |
5 | 35, 20, 450 |
7, 4, 90 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1010940/10
Therefore the LCM of Fractions 21/70,996/40,145/900 is 101094
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 70,40,900 . The biggest common factor number is the GCF number.
So the greatest common factor 70,40,900 is 10.
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 21/70, 996/40, 145/900?
Answer: LCM of Numerators as per given numbers 21/70, 996/40, 145/900 is
LCM of Numerators i.e. for 21,996,145 is 1010940
GCF of denominators i.e. for 70,40,900 is 10.
Thus, LCM of Fractions is 101094.Finally, LCM of Fractions for 21/70, 996/40, 145/900 is 101094.