Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 237/22, 370/89, 185/851 quickly i.e. 87690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 237/22, 370/89, 185/851 is 87690.
LCM(237/22, 370/89, 185/851) = 87690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 237/22,370/89,185/851
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 237,370,185
Least Common Multiple of Numerators i.e. LCM of 237,370,185 is 87690.
GCF of Denominators means GCF of 22,89,851 as per the given fractions.
GCF of 22,89,851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 237,370,185
5 | 237, 370, 185 |
37 | 237, 74, 37 |
237, 2, 1 |
∴ So the LCM of the given numbers is 5 x 37 x 237 x 2 x 1 = 87690
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 237,370,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,370,185) = 1
common factors(in case of two or more numbers have common factors) = 185
GCF(237,370,185) x common factors =1 x 185 = 185
LCM(237,370,185) = ( 237 × 370 × 185 ) / 185
LCM(237,370,185) = 16222650 / 185
LCM(237,370,185) = 87690
Lets's calculate GCF of 22,89,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87690/1
Therefore the LCM of Fractions 237/22,370/89,185/851 is 87690
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 851
List of positive integer factors of 851 that divides 851 without a remainder.
1,23,37,851
Greatest Common Factor
We found the factors 22,89,851 . The biggest common factor number is the GCF number.
So the greatest common factor 22,89,851 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 237/22, 370/89, 185/851?
Answer: LCM of Numerators as per given numbers 237/22, 370/89, 185/851 is
LCM of Numerators i.e. for 237,370,185 is 87690
GCF of denominators i.e. for 22,89,851 is 1.
Thus, LCM of Fractions is 87690.Finally, LCM of Fractions for 237/22, 370/89, 185/851 is 87690.