Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 254/30, 151/92, 264/562 quickly i.e. 2531364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 254/30, 151/92, 264/562 is 2531364.
LCM(254/30, 151/92, 264/562) = 2531364
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 254/30,151/92,264/562
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 254,151,264
Least Common Multiple of Numerators i.e. LCM of 254,151,264 is 5062728.
GCF of Denominators means GCF of 30,92,562 as per the given fractions.
GCF of 30,92,562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 254,151,264
2 | 254, 151, 264 |
127, 151, 132 |
∴ So the LCM of the given numbers is 2 x 127 x 151 x 132 = 5062728
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 254,151,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,151,264) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(254,151,264) x common factors =1 x 2 = 2
LCM(254,151,264) = ( 254 × 151 × 264 ) / 2
LCM(254,151,264) = 10125456 / 2
LCM(254,151,264) = 5062728
Lets's calculate GCF of 30,92,562
2 | 30, 92, 562 |
15, 46, 281 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5062728/2
Therefore the LCM of Fractions 254/30,151/92,264/562 is 2531364
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 30,92,562 . The biggest common factor number is the GCF number.
So the greatest common factor 30,92,562 is 2.
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 254/30, 151/92, 264/562?
Answer: LCM of Numerators as per given numbers 254/30, 151/92, 264/562 is
LCM of Numerators i.e. for 254,151,264 is 5062728
GCF of denominators i.e. for 30,92,562 is 2.
Thus, LCM of Fractions is 2531364.Finally, LCM of Fractions for 254/30, 151/92, 264/562 is 2531364.