Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/951, 86/141, 306/786 quickly i.e. 4386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/951, 86/141, 306/786 is 4386.
LCM(43/951, 86/141, 306/786) = 4386
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/951,86/141,306/786
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 43,86,306
Least Common Multiple of Numerators i.e. LCM of 43,86,306 is 13158.
GCF of Denominators means GCF of 951,141,786 as per the given fractions.
GCF of 951,141,786 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,86,306
2 | 43, 86, 306 |
43 | 43, 43, 153 |
1, 1, 153 |
∴ So the LCM of the given numbers is 2 x 43 x 1 x 1 x 153 = 13158
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 43,86,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,86,306) = 1
common factors(in case of two or more numbers have common factors) = 86
GCF(43,86,306) x common factors =1 x 86 = 86
LCM(43,86,306) = ( 43 × 86 × 306 ) / 86
LCM(43,86,306) = 1131588 / 86
LCM(43,86,306) = 13158
Lets's calculate GCF of 951,141,786
3 | 951, 141, 786 |
317, 47, 262 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13158/3
Therefore the LCM of Fractions 43/951,86/141,306/786 is 4386
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 951,141,786 . The biggest common factor number is the GCF number.
So the greatest common factor 951,141,786 is 3.
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 43/951, 86/141, 306/786?
Answer: LCM of Numerators as per given numbers 43/951, 86/141, 306/786 is
LCM of Numerators i.e. for 43,86,306 is 13158
GCF of denominators i.e. for 951,141,786 is 3.
Thus, LCM of Fractions is 4386.Finally, LCM of Fractions for 43/951, 86/141, 306/786 is 4386.