Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/14, 70/51, 98/33, 84/468 quickly i.e. 208740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/14, 70/51, 98/33, 84/468 is 208740.
LCM(71/14, 70/51, 98/33, 84/468) = 208740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/14,70/51,98/33,84/468
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 71,70,98,84
Least Common Multiple of Numerators i.e. LCM of 71,70,98,84 is 208740.
GCF of Denominators means GCF of 14,51,33,468 as per the given fractions.
GCF of 14,51,33,468 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,70,98,84
2 | 71, 70, 98, 84 |
7 | 71, 35, 49, 42 |
71, 5, 7, 6 |
∴ So the LCM of the given numbers is 2 x 7 x 71 x 5 x 7 x 6 = 208740
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 71,70,98,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,70,98,84) = 1
common factors(in case of two or more numbers have common factors) = 196
GCF(71,70,98,84) x common factors =1 x 196 = 196
LCM(71,70,98,84) = ( 71 × 70 × 98 × 84 ) / 196
LCM(71,70,98,84) = 40913040 / 196
LCM(71,70,98,84) = 208740
Lets's calculate GCF of 14,51,33,468
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208740/1
Therefore the LCM of Fractions 71/14,70/51,98/33,84/468 is 208740
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Greatest Common Factor
We found the factors 14,51,33,468 . The biggest common factor number is the GCF number.
So the greatest common factor 14,51,33,468 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 71/14, 70/51, 98/33, 84/468?
Answer: LCM of Numerators as per given numbers 71/14, 70/51, 98/33, 84/468 is
LCM of Numerators i.e. for 71,70,98,84 is 208740
GCF of denominators i.e. for 14,51,33,468 is 1.
Thus, LCM of Fractions is 208740.Finally, LCM of Fractions for 71/14, 70/51, 98/33, 84/468 is 208740.