Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/87, 49/48, 34/40, 861/35 quickly i.e. 6557376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/87, 49/48, 34/40, 861/35 is 6557376.
LCM(64/87, 49/48, 34/40, 861/35) = 6557376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/87,49/48,34/40,861/35
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 64,49,34,861
Least Common Multiple of Numerators i.e. LCM of 64,49,34,861 is 6557376.
GCF of Denominators means GCF of 87,48,40,35 as per the given fractions.
GCF of 87,48,40,35 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,49,34,861
2 | 64, 49, 34, 861 |
7 | 32, 49, 17, 861 |
32, 7, 17, 123 |
∴ So the LCM of the given numbers is 2 x 7 x 32 x 7 x 17 x 123 = 6557376
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 64,49,34,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,49,34,861) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(64,49,34,861) x common factors =1 x 14 = 14
LCM(64,49,34,861) = ( 64 × 49 × 34 × 861 ) / 14
LCM(64,49,34,861) = 91803264 / 14
LCM(64,49,34,861) = 6557376
Lets's calculate GCF of 87,48,40,35
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6557376/1
Therefore the LCM of Fractions 64/87,49/48,34/40,861/35 is 6557376
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Greatest Common Factor
We found the factors 87,48,40,35 . The biggest common factor number is the GCF number.
So the greatest common factor 87,48,40,35 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 64/87, 49/48, 34/40, 861/35?
Answer: LCM of Numerators as per given numbers 64/87, 49/48, 34/40, 861/35 is
LCM of Numerators i.e. for 64,49,34,861 is 6557376
GCF of denominators i.e. for 87,48,40,35 is 1.
Thus, LCM of Fractions is 6557376.Finally, LCM of Fractions for 64/87, 49/48, 34/40, 861/35 is 6557376.