Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 356/648, 530/350, 977/642 quickly i.e. 46085090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 356/648, 530/350, 977/642 is 46085090.
LCM(356/648, 530/350, 977/642) = 46085090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 356/648,530/350,977/642
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 356,530,977
Least Common Multiple of Numerators i.e. LCM of 356,530,977 is 92170180.
GCF of Denominators means GCF of 648,350,642 as per the given fractions.
GCF of 648,350,642 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 356,530,977
2 | 356, 530, 977 |
178, 265, 977 |
∴ So the LCM of the given numbers is 2 x 178 x 265 x 977 = 92170180
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 356,530,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,530,977) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(356,530,977) x common factors =1 x 2 = 2
LCM(356,530,977) = ( 356 × 530 × 977 ) / 2
LCM(356,530,977) = 184340360 / 2
LCM(356,530,977) = 92170180
Lets's calculate GCF of 648,350,642
2 | 648, 350, 642 |
324, 175, 321 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92170180/2
Therefore the LCM of Fractions 356/648,530/350,977/642 is 46085090
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 648,350,642 . The biggest common factor number is the GCF number.
So the greatest common factor 648,350,642 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 356/648, 530/350, 977/642?
Answer: LCM of Numerators as per given numbers 356/648, 530/350, 977/642 is
LCM of Numerators i.e. for 356,530,977 is 92170180
GCF of denominators i.e. for 648,350,642 is 2.
Thus, LCM of Fractions is 46085090.Finally, LCM of Fractions for 356/648, 530/350, 977/642 is 46085090.