Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 115/42, 567/53, 702/633 quickly i.e. 1695330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 115/42, 567/53, 702/633 is 1695330.
LCM(115/42, 567/53, 702/633) = 1695330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 115/42,567/53,702/633
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 115,567,702
Least Common Multiple of Numerators i.e. LCM of 115,567,702 is 1695330.
GCF of Denominators means GCF of 42,53,633 as per the given fractions.
GCF of 42,53,633 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 115,567,702
3 | 115, 567, 702 |
3 | 115, 189, 234 |
3 | 115, 63, 78 |
115, 21, 26 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 115 x 21 x 26 = 1695330
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 115,567,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,567,702) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(115,567,702) x common factors =1 x 27 = 27
LCM(115,567,702) = ( 115 × 567 × 702 ) / 27
LCM(115,567,702) = 45773910 / 27
LCM(115,567,702) = 1695330
Lets's calculate GCF of 42,53,633
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1695330/1
Therefore the LCM of Fractions 115/42,567/53,702/633 is 1695330
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Greatest Common Factor
We found the factors 42,53,633 . The biggest common factor number is the GCF number.
So the greatest common factor 42,53,633 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 115/42, 567/53, 702/633?
Answer: LCM of Numerators as per given numbers 115/42, 567/53, 702/633 is
LCM of Numerators i.e. for 115,567,702 is 1695330
GCF of denominators i.e. for 42,53,633 is 1.
Thus, LCM of Fractions is 1695330.Finally, LCM of Fractions for 115/42, 567/53, 702/633 is 1695330.