Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/68, 92/93, 95/67, 84/678 quickly i.e. 734160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/68, 92/93, 95/67, 84/678 is 734160.
LCM(48/68, 92/93, 95/67, 84/678) = 734160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/68,92/93,95/67,84/678
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 48,92,95,84
Least Common Multiple of Numerators i.e. LCM of 48,92,95,84 is 734160.
GCF of Denominators means GCF of 68,93,67,678 as per the given fractions.
GCF of 68,93,67,678 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,92,95,84
2 | 48, 92, 95, 84 |
2 | 24, 46, 95, 42 |
3 | 12, 23, 95, 21 |
4, 23, 95, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 23 x 95 x 7 = 734160
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 48,92,95,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,92,95,84) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(48,92,95,84) x common factors =1 x 48 = 48
LCM(48,92,95,84) = ( 48 × 92 × 95 × 84 ) / 48
LCM(48,92,95,84) = 35239680 / 48
LCM(48,92,95,84) = 734160
Lets's calculate GCF of 68,93,67,678
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 734160/1
Therefore the LCM of Fractions 48/68,92/93,95/67,84/678 is 734160
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Greatest Common Factor
We found the factors 68,93,67,678 . The biggest common factor number is the GCF number.
So the greatest common factor 68,93,67,678 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 48/68, 92/93, 95/67, 84/678?
Answer: LCM of Numerators as per given numbers 48/68, 92/93, 95/67, 84/678 is
LCM of Numerators i.e. for 48,92,95,84 is 734160
GCF of denominators i.e. for 68,93,67,678 is 1.
Thus, LCM of Fractions is 734160.Finally, LCM of Fractions for 48/68, 92/93, 95/67, 84/678 is 734160.