Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 571/48, 134/31, 698/890 quickly i.e. 26703386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 571/48, 134/31, 698/890 is 26703386.
LCM(571/48, 134/31, 698/890) = 26703386
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 571/48,134/31,698/890
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 571,134,698
Least Common Multiple of Numerators i.e. LCM of 571,134,698 is 26703386.
GCF of Denominators means GCF of 48,31,890 as per the given fractions.
GCF of 48,31,890 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 571,134,698
2 | 571, 134, 698 |
571, 67, 349 |
∴ So the LCM of the given numbers is 2 x 571 x 67 x 349 = 26703386
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 571,134,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,134,698) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(571,134,698) x common factors =1 x 2 = 2
LCM(571,134,698) = ( 571 × 134 × 698 ) / 2
LCM(571,134,698) = 53406772 / 2
LCM(571,134,698) = 26703386
Lets's calculate GCF of 48,31,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26703386/1
Therefore the LCM of Fractions 571/48,134/31,698/890 is 26703386
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 48,31,890 . The biggest common factor number is the GCF number.
So the greatest common factor 48,31,890 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 571/48, 134/31, 698/890?
Answer: LCM of Numerators as per given numbers 571/48, 134/31, 698/890 is
LCM of Numerators i.e. for 571,134,698 is 26703386
GCF of denominators i.e. for 48,31,890 is 1.
Thus, LCM of Fractions is 26703386.Finally, LCM of Fractions for 571/48, 134/31, 698/890 is 26703386.