Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/654, 296/551, 533/926 quickly i.e. 1735448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/654, 296/551, 533/926 is 1735448.
LCM(88/654, 296/551, 533/926) = 1735448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/654,296/551,533/926
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 88,296,533
Least Common Multiple of Numerators i.e. LCM of 88,296,533 is 1735448.
GCF of Denominators means GCF of 654,551,926 as per the given fractions.
GCF of 654,551,926 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,296,533
2 | 88, 296, 533 |
2 | 44, 148, 533 |
2 | 22, 74, 533 |
11, 37, 533 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 37 x 533 = 1735448
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 88,296,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,296,533) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(88,296,533) x common factors =1 x 8 = 8
LCM(88,296,533) = ( 88 × 296 × 533 ) / 8
LCM(88,296,533) = 13883584 / 8
LCM(88,296,533) = 1735448
Lets's calculate GCF of 654,551,926
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1735448/1
Therefore the LCM of Fractions 88/654,296/551,533/926 is 1735448
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Greatest Common Factor
We found the factors 654,551,926 . The biggest common factor number is the GCF number.
So the greatest common factor 654,551,926 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 88/654, 296/551, 533/926?
Answer: LCM of Numerators as per given numbers 88/654, 296/551, 533/926 is
LCM of Numerators i.e. for 88,296,533 is 1735448
GCF of denominators i.e. for 654,551,926 is 1.
Thus, LCM of Fractions is 1735448.Finally, LCM of Fractions for 88/654, 296/551, 533/926 is 1735448.