Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/10, 620/32, 917/970 quickly i.e. 4832590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/10, 620/32, 917/970 is 4832590.
LCM(68/10, 620/32, 917/970) = 4832590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/10,620/32,917/970
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 68,620,917
Least Common Multiple of Numerators i.e. LCM of 68,620,917 is 9665180.
GCF of Denominators means GCF of 10,32,970 as per the given fractions.
GCF of 10,32,970 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,620,917
2 | 68, 620, 917 |
2 | 34, 310, 917 |
17, 155, 917 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 155 x 917 = 9665180
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 68,620,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,620,917) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,620,917) x common factors =1 x 4 = 4
LCM(68,620,917) = ( 68 × 620 × 917 ) / 4
LCM(68,620,917) = 38660720 / 4
LCM(68,620,917) = 9665180
Lets's calculate GCF of 10,32,970
2 | 10, 32, 970 |
5, 16, 485 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9665180/2
Therefore the LCM of Fractions 68/10,620/32,917/970 is 4832590
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 10,32,970 . The biggest common factor number is the GCF number.
So the greatest common factor 10,32,970 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 68/10, 620/32, 917/970?
Answer: LCM of Numerators as per given numbers 68/10, 620/32, 917/970 is
LCM of Numerators i.e. for 68,620,917 is 9665180
GCF of denominators i.e. for 10,32,970 is 2.
Thus, LCM of Fractions is 4832590.Finally, LCM of Fractions for 68/10, 620/32, 917/970 is 4832590.