Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/206, 86/234, 420/858 quickly i.e. 63210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/206, 86/234, 420/858 is 63210.
LCM(49/206, 86/234, 420/858) = 63210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/206,86/234,420/858
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 49,86,420
Least Common Multiple of Numerators i.e. LCM of 49,86,420 is 126420.
GCF of Denominators means GCF of 206,234,858 as per the given fractions.
GCF of 206,234,858 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,86,420
2 | 49, 86, 420 |
7 | 49, 43, 210 |
7, 43, 30 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 43 x 30 = 126420
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 49,86,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,86,420) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(49,86,420) x common factors =1 x 14 = 14
LCM(49,86,420) = ( 49 × 86 × 420 ) / 14
LCM(49,86,420) = 1769880 / 14
LCM(49,86,420) = 126420
Lets's calculate GCF of 206,234,858
2 | 206, 234, 858 |
103, 117, 429 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126420/2
Therefore the LCM of Fractions 49/206,86/234,420/858 is 63210
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 206,234,858 . The biggest common factor number is the GCF number.
So the greatest common factor 206,234,858 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 49/206, 86/234, 420/858?
Answer: LCM of Numerators as per given numbers 49/206, 86/234, 420/858 is
LCM of Numerators i.e. for 49,86,420 is 126420
GCF of denominators i.e. for 206,234,858 is 2.
Thus, LCM of Fractions is 63210.Finally, LCM of Fractions for 49/206, 86/234, 420/858 is 63210.