Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/402, 31/506, 692/297 quickly i.e. 1351476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/402, 31/506, 692/297 is 1351476.
LCM(63/402, 31/506, 692/297) = 1351476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/402,31/506,692/297
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 63,31,692
Least Common Multiple of Numerators i.e. LCM of 63,31,692 is 1351476.
GCF of Denominators means GCF of 402,506,297 as per the given fractions.
GCF of 402,506,297 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,31,692
Given numbers has no common factors except 1. So, there LCM is their product i.e 1351476
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 63,31,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,31,692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,31,692) x common factors =1 x 1 = 1
LCM(63,31,692) = ( 63 × 31 × 692 ) / 1
LCM(63,31,692) = 1351476 / 1
LCM(63,31,692) = 1351476
Lets's calculate GCF of 402,506,297
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1351476/1
Therefore the LCM of Fractions 63/402,31/506,692/297 is 1351476
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 402,506,297 . The biggest common factor number is the GCF number.
So the greatest common factor 402,506,297 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 63/402, 31/506, 692/297?
Answer: LCM of Numerators as per given numbers 63/402, 31/506, 692/297 is
LCM of Numerators i.e. for 63,31,692 is 1351476
GCF of denominators i.e. for 402,506,297 is 1.
Thus, LCM of Fractions is 1351476.Finally, LCM of Fractions for 63/402, 31/506, 692/297 is 1351476.