Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 600/32, 707/9282 quickly i.e. 212100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 600/32, 707/9282 is 212100.
LCM(600/32, 707/9282) = 212100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 600/32,707/9282
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 600,707
Least Common Multiple of Numerators i.e. LCM of 600,707 is 424200.
GCF of Denominators means GCF of 32,9282 as per the given fractions.
GCF of 32,9282 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 600,707
Given numbers has no common factors except 1. So, there LCM is their product i.e 424200
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 600,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(600,707) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(600,707) x common factors =1 x 1 = 1
LCM(600,707) = ( 600 × 707 ) / 1
LCM(600,707) = 424200 / 1
LCM(600,707) = 424200
Lets's calculate GCF of 32,9282
2 | 32, 9282 |
16, 4641 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 424200/2
Therefore the LCM of Fractions 600/32,707/9282 is 212100
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 9282
List of positive integer factors of 9282 that divides 9282 without a remainder.
1,2,3,6,7,13,14,17,21,26,34,39,42,51,78,91,102,119,182,221,238,273,357,442,546,663,714,1326,1547,3094,4641,9282
Greatest Common Factor
We found the factors 32,9282 . The biggest common factor number is the GCF number.
So the greatest common factor 32,9282 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 600/32, 707/9282?
Answer: LCM of Numerators as per given numbers 600/32, 707/9282 is
LCM of Numerators i.e. for 600,707 is 424200
GCF of denominators i.e. for 32,9282 is 2.
Thus, LCM of Fractions is 212100.Finally, LCM of Fractions for 600/32, 707/9282 is 212100.