Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/630, 998/132, 427/337 quickly i.e. 37074702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/630, 998/132, 427/337 is 37074702.
LCM(87/630, 998/132, 427/337) = 37074702
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/630,998/132,427/337
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 87,998,427
Least Common Multiple of Numerators i.e. LCM of 87,998,427 is 37074702.
GCF of Denominators means GCF of 630,132,337 as per the given fractions.
GCF of 630,132,337 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,998,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 37074702
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 87,998,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,998,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,998,427) x common factors =1 x 1 = 1
LCM(87,998,427) = ( 87 × 998 × 427 ) / 1
LCM(87,998,427) = 37074702 / 1
LCM(87,998,427) = 37074702
Lets's calculate GCF of 630,132,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37074702/1
Therefore the LCM of Fractions 87/630,998/132,427/337 is 37074702
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 630,132,337 . The biggest common factor number is the GCF number.
So the greatest common factor 630,132,337 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 87/630, 998/132, 427/337?
Answer: LCM of Numerators as per given numbers 87/630, 998/132, 427/337 is
LCM of Numerators i.e. for 87,998,427 is 37074702
GCF of denominators i.e. for 630,132,337 is 1.
Thus, LCM of Fractions is 37074702.Finally, LCM of Fractions for 87/630, 998/132, 427/337 is 37074702.