Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/62, 70/54, 76/94, 63/563 quickly i.e. 742140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/62, 70/54, 76/94, 63/563 is 742140.
LCM(31/62, 70/54, 76/94, 63/563) = 742140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/62,70/54,76/94,63/563
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 31,70,76,63
Least Common Multiple of Numerators i.e. LCM of 31,70,76,63 is 742140.
GCF of Denominators means GCF of 62,54,94,563 as per the given fractions.
GCF of 62,54,94,563 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,70,76,63
2 | 31, 70, 76, 63 |
7 | 31, 35, 38, 63 |
31, 5, 38, 9 |
∴ So the LCM of the given numbers is 2 x 7 x 31 x 5 x 38 x 9 = 742140
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 31,70,76,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,70,76,63) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(31,70,76,63) x common factors =1 x 14 = 14
LCM(31,70,76,63) = ( 31 × 70 × 76 × 63 ) / 14
LCM(31,70,76,63) = 10389960 / 14
LCM(31,70,76,63) = 742140
Lets's calculate GCF of 62,54,94,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 742140/1
Therefore the LCM of Fractions 31/62,70/54,76/94,63/563 is 742140
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Greatest Common Factor
We found the factors 62,54,94,563 . The biggest common factor number is the GCF number.
So the greatest common factor 62,54,94,563 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 31/62, 70/54, 76/94, 63/563?
Answer: LCM of Numerators as per given numbers 31/62, 70/54, 76/94, 63/563 is
LCM of Numerators i.e. for 31,70,76,63 is 742140
GCF of denominators i.e. for 62,54,94,563 is 1.
Thus, LCM of Fractions is 742140.Finally, LCM of Fractions for 31/62, 70/54, 76/94, 63/563 is 742140.