Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/56, 434/8700 quickly i.e. 1302/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/56, 434/8700 is 1302/4.
LCM(651/56, 434/8700) = 1302/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/56,434/8700
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 651,434
Least Common Multiple of Numerators i.e. LCM of 651,434 is 1302.
GCF of Denominators means GCF of 56,8700 as per the given fractions.
GCF of 56,8700 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,434
7 | 651, 434 |
31 | 93, 62 |
3, 2 |
∴ So the LCM of the given numbers is 7 x 31 x 3 x 2 = 1302
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 651,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,434) = 217
common factors(in case of two or more numbers have common factors) = 1
GCF(651,434) x common factors =217 x 1 = 217
LCM(651,434) = ( 651 × 434 ) / 217
LCM(651,434) = 282534 / 217
LCM(651,434) = 1302
Lets's calculate GCF of 56,8700
2 | 56, 8700 |
2 | 28, 4350 |
14, 2175 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1302/4
Therefore the LCM of Fractions 651/56,434/8700 is 1302/4
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 8700
List of positive integer factors of 8700 that divides 8700 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700
Greatest Common Factor
We found the factors 56,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 56,8700 is 4.
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 651/56, 434/8700?
Answer: LCM of Numerators as per given numbers 651/56, 434/8700 is
LCM of Numerators i.e. for 651,434 is 1302
GCF of denominators i.e. for 56,8700 is 4.
Thus, LCM of Fractions is 1302/4.Finally, LCM of Fractions for 651/56, 434/8700 is 1302/4.