Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 265/552, 473/921, 237/495 quickly i.e. 9902255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 265/552, 473/921, 237/495 is 9902255.
LCM(265/552, 473/921, 237/495) = 9902255
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 265/552,473/921,237/495
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 265,473,237
Least Common Multiple of Numerators i.e. LCM of 265,473,237 is 29706765.
GCF of Denominators means GCF of 552,921,495 as per the given fractions.
GCF of 552,921,495 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 265,473,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 29706765
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 265,473,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,473,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,473,237) x common factors =1 x 1 = 1
LCM(265,473,237) = ( 265 × 473 × 237 ) / 1
LCM(265,473,237) = 29706765 / 1
LCM(265,473,237) = 29706765
Lets's calculate GCF of 552,921,495
3 | 552, 921, 495 |
184, 307, 165 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29706765/3
Therefore the LCM of Fractions 265/552,473/921,237/495 is 9902255
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 552,921,495 . The biggest common factor number is the GCF number.
So the greatest common factor 552,921,495 is 3.
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 265/552, 473/921, 237/495?
Answer: LCM of Numerators as per given numbers 265/552, 473/921, 237/495 is
LCM of Numerators i.e. for 265,473,237 is 29706765
GCF of denominators i.e. for 552,921,495 is 3.
Thus, LCM of Fractions is 9902255.Finally, LCM of Fractions for 265/552, 473/921, 237/495 is 9902255.