Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/525, 257/628, 354/388 quickly i.e. 1000758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/525, 257/628, 354/388 is 1000758.
LCM(22/525, 257/628, 354/388) = 1000758
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/525,257/628,354/388
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 22,257,354
Least Common Multiple of Numerators i.e. LCM of 22,257,354 is 1000758.
GCF of Denominators means GCF of 525,628,388 as per the given fractions.
GCF of 525,628,388 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,257,354
2 | 22, 257, 354 |
11, 257, 177 |
∴ So the LCM of the given numbers is 2 x 11 x 257 x 177 = 1000758
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 22,257,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,257,354) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,257,354) x common factors =1 x 2 = 2
LCM(22,257,354) = ( 22 × 257 × 354 ) / 2
LCM(22,257,354) = 2001516 / 2
LCM(22,257,354) = 1000758
Lets's calculate GCF of 525,628,388
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1000758/1
Therefore the LCM of Fractions 22/525,257/628,354/388 is 1000758
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Greatest Common Factor
We found the factors 525,628,388 . The biggest common factor number is the GCF number.
So the greatest common factor 525,628,388 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 22/525, 257/628, 354/388?
Answer: LCM of Numerators as per given numbers 22/525, 257/628, 354/388 is
LCM of Numerators i.e. for 22,257,354 is 1000758
GCF of denominators i.e. for 525,628,388 is 1.
Thus, LCM of Fractions is 1000758.Finally, LCM of Fractions for 22/525, 257/628, 354/388 is 1000758.