Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/188, 499/668, 820/930 quickly i.e. 10024910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/188, 499/668, 820/930 is 10024910.
LCM(98/188, 499/668, 820/930) = 10024910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/188,499/668,820/930
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 98,499,820
Least Common Multiple of Numerators i.e. LCM of 98,499,820 is 20049820.
GCF of Denominators means GCF of 188,668,930 as per the given fractions.
GCF of 188,668,930 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,499,820
2 | 98, 499, 820 |
49, 499, 410 |
∴ So the LCM of the given numbers is 2 x 49 x 499 x 410 = 20049820
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 98,499,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,499,820) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,499,820) x common factors =1 x 2 = 2
LCM(98,499,820) = ( 98 × 499 × 820 ) / 2
LCM(98,499,820) = 40099640 / 2
LCM(98,499,820) = 20049820
Lets's calculate GCF of 188,668,930
2 | 188, 668, 930 |
94, 334, 465 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20049820/2
Therefore the LCM of Fractions 98/188,499/668,820/930 is 10024910
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 188,668,930 . The biggest common factor number is the GCF number.
So the greatest common factor 188,668,930 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 98/188, 499/668, 820/930?
Answer: LCM of Numerators as per given numbers 98/188, 499/668, 820/930 is
LCM of Numerators i.e. for 98,499,820 is 20049820
GCF of denominators i.e. for 188,668,930 is 2.
Thus, LCM of Fractions is 10024910.Finally, LCM of Fractions for 98/188, 499/668, 820/930 is 10024910.