Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/63, 630/94, 216/914 quickly i.e. 234360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/63, 630/94, 216/914 is 234360.
LCM(651/63, 630/94, 216/914) = 234360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/63,630/94,216/914
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 651,630,216
Least Common Multiple of Numerators i.e. LCM of 651,630,216 is 234360.
GCF of Denominators means GCF of 63,94,914 as per the given fractions.
GCF of 63,94,914 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,630,216
2 | 651, 630, 216 |
3 | 651, 315, 108 |
3 | 217, 105, 36 |
7 | 217, 35, 12 |
31, 5, 12 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 31 x 5 x 12 = 234360
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 651,630,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,630,216) = 3
common factors(in case of two or more numbers have common factors) = 126
GCF(651,630,216) x common factors =3 x 126 = 378
LCM(651,630,216) = ( 651 × 630 × 216 ) / 378
LCM(651,630,216) = 88588080 / 378
LCM(651,630,216) = 234360
Lets's calculate GCF of 63,94,914
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234360/1
Therefore the LCM of Fractions 651/63,630/94,216/914 is 234360
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 63,94,914 . The biggest common factor number is the GCF number.
So the greatest common factor 63,94,914 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 651/63, 630/94, 216/914?
Answer: LCM of Numerators as per given numbers 651/63, 630/94, 216/914 is
LCM of Numerators i.e. for 651,630,216 is 234360
GCF of denominators i.e. for 63,94,914 is 1.
Thus, LCM of Fractions is 234360.Finally, LCM of Fractions for 651/63, 630/94, 216/914 is 234360.