Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/372, 282/730, 732/797 quickly i.e. 1204140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/372, 282/730, 732/797 is 1204140.
LCM(70/372, 282/730, 732/797) = 1204140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/372,282/730,732/797
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 70,282,732
Least Common Multiple of Numerators i.e. LCM of 70,282,732 is 1204140.
GCF of Denominators means GCF of 372,730,797 as per the given fractions.
GCF of 372,730,797 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,282,732
2 | 70, 282, 732 |
3 | 35, 141, 366 |
35, 47, 122 |
∴ So the LCM of the given numbers is 2 x 3 x 35 x 47 x 122 = 1204140
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 70,282,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,282,732) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(70,282,732) x common factors =2 x 6 = 12
LCM(70,282,732) = ( 70 × 282 × 732 ) / 12
LCM(70,282,732) = 14449680 / 12
LCM(70,282,732) = 1204140
Lets's calculate GCF of 372,730,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1204140/1
Therefore the LCM of Fractions 70/372,282/730,732/797 is 1204140
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 372,730,797 . The biggest common factor number is the GCF number.
So the greatest common factor 372,730,797 is 1.
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 70/372, 282/730, 732/797?
Answer: LCM of Numerators as per given numbers 70/372, 282/730, 732/797 is
LCM of Numerators i.e. for 70,282,732 is 1204140
GCF of denominators i.e. for 372,730,797 is 1.
Thus, LCM of Fractions is 1204140.Finally, LCM of Fractions for 70/372, 282/730, 732/797 is 1204140.