Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 117/93, 700/39, 142/525 quickly i.e. 1938300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 117/93, 700/39, 142/525 is 1938300.
LCM(117/93, 700/39, 142/525) = 1938300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 117/93,700/39,142/525
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 117,700,142
Least Common Multiple of Numerators i.e. LCM of 117,700,142 is 5814900.
GCF of Denominators means GCF of 93,39,525 as per the given fractions.
GCF of 93,39,525 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 117,700,142
2 | 117, 700, 142 |
117, 350, 71 |
∴ So the LCM of the given numbers is 2 x 117 x 350 x 71 = 5814900
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 117,700,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,700,142) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(117,700,142) x common factors =1 x 2 = 2
LCM(117,700,142) = ( 117 × 700 × 142 ) / 2
LCM(117,700,142) = 11629800 / 2
LCM(117,700,142) = 5814900
Lets's calculate GCF of 93,39,525
3 | 93, 39, 525 |
31, 13, 175 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5814900/3
Therefore the LCM of Fractions 117/93,700/39,142/525 is 1938300
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 93,39,525 . The biggest common factor number is the GCF number.
So the greatest common factor 93,39,525 is 3.
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 117/93, 700/39, 142/525?
Answer: LCM of Numerators as per given numbers 117/93, 700/39, 142/525 is
LCM of Numerators i.e. for 117,700,142 is 5814900
GCF of denominators i.e. for 93,39,525 is 3.
Thus, LCM of Fractions is 1938300.Finally, LCM of Fractions for 117/93, 700/39, 142/525 is 1938300.