Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/448, 78/541, 714/953 quickly i.e. 621894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/448, 78/541, 714/953 is 621894.
LCM(67/448, 78/541, 714/953) = 621894
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/448,78/541,714/953
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 67,78,714
Least Common Multiple of Numerators i.e. LCM of 67,78,714 is 621894.
GCF of Denominators means GCF of 448,541,953 as per the given fractions.
GCF of 448,541,953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,78,714
2 | 67, 78, 714 |
3 | 67, 39, 357 |
67, 13, 119 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 13 x 119 = 621894
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 67,78,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,78,714) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(67,78,714) x common factors =1 x 6 = 6
LCM(67,78,714) = ( 67 × 78 × 714 ) / 6
LCM(67,78,714) = 3731364 / 6
LCM(67,78,714) = 621894
Lets's calculate GCF of 448,541,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 621894/1
Therefore the LCM of Fractions 67/448,78/541,714/953 is 621894
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 448,541,953 . The biggest common factor number is the GCF number.
So the greatest common factor 448,541,953 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 67/448, 78/541, 714/953?
Answer: LCM of Numerators as per given numbers 67/448, 78/541, 714/953 is
LCM of Numerators i.e. for 67,78,714 is 621894
GCF of denominators i.e. for 448,541,953 is 1.
Thus, LCM of Fractions is 621894.Finally, LCM of Fractions for 67/448, 78/541, 714/953 is 621894.