Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 234/536, 4376/6970 quickly i.e. 255996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 234/536, 4376/6970 is 255996.
LCM(234/536, 4376/6970) = 255996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 234/536,4376/6970
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 234,4376
Least Common Multiple of Numerators i.e. LCM of 234,4376 is 511992.
GCF of Denominators means GCF of 536,6970 as per the given fractions.
GCF of 536,6970 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 234,4376
2 | 234, 4376 |
117, 2188 |
∴ So the LCM of the given numbers is 2 x 117 x 2188 = 511992
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 234,4376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(234,4376) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(234,4376) x common factors =2 x 1 = 2
LCM(234,4376) = ( 234 × 4376 ) / 2
LCM(234,4376) = 1023984 / 2
LCM(234,4376) = 511992
Lets's calculate GCF of 536,6970
2 | 536, 6970 |
268, 3485 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 511992/2
Therefore the LCM of Fractions 234/536,4376/6970 is 255996
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 6970
List of positive integer factors of 6970 that divides 6970 without a remainder.
1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970
Greatest Common Factor
We found the factors 536,6970 . The biggest common factor number is the GCF number.
So the greatest common factor 536,6970 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 234/536, 4376/6970?
Answer: LCM of Numerators as per given numbers 234/536, 4376/6970 is
LCM of Numerators i.e. for 234,4376 is 511992
GCF of denominators i.e. for 536,6970 is 2.
Thus, LCM of Fractions is 255996.Finally, LCM of Fractions for 234/536, 4376/6970 is 255996.