Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/953, 72/688, 800/256 quickly i.e. 266400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/953, 72/688, 800/256 is 266400.
LCM(74/953, 72/688, 800/256) = 266400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/953,72/688,800/256
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 74,72,800
Least Common Multiple of Numerators i.e. LCM of 74,72,800 is 266400.
GCF of Denominators means GCF of 953,688,256 as per the given fractions.
GCF of 953,688,256 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,72,800
2 | 74, 72, 800 |
2 | 37, 36, 400 |
2 | 37, 18, 200 |
37, 9, 100 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 9 x 100 = 266400
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 74,72,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,72,800) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(74,72,800) x common factors =2 x 8 = 16
LCM(74,72,800) = ( 74 × 72 × 800 ) / 16
LCM(74,72,800) = 4262400 / 16
LCM(74,72,800) = 266400
Lets's calculate GCF of 953,688,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266400/1
Therefore the LCM of Fractions 74/953,72/688,800/256 is 266400
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 953,688,256 . The biggest common factor number is the GCF number.
So the greatest common factor 953,688,256 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 74/953, 72/688, 800/256?
Answer: LCM of Numerators as per given numbers 74/953, 72/688, 800/256 is
LCM of Numerators i.e. for 74,72,800 is 266400
GCF of denominators i.e. for 953,688,256 is 1.
Thus, LCM of Fractions is 266400.Finally, LCM of Fractions for 74/953, 72/688, 800/256 is 266400.