Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 707/87, 807/7863 quickly i.e. 190183 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 707/87, 807/7863 is 190183.
LCM(707/87, 807/7863) = 190183
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 707/87,807/7863
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 707,807
Least Common Multiple of Numerators i.e. LCM of 707,807 is 570549.
GCF of Denominators means GCF of 87,7863 as per the given fractions.
GCF of 87,7863 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 707,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 570549
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 707,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,807) x common factors =1 x 1 = 1
LCM(707,807) = ( 707 × 807 ) / 1
LCM(707,807) = 570549 / 1
LCM(707,807) = 570549
Lets's calculate GCF of 87,7863
3 | 87, 7863 |
29, 2621 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 570549/3
Therefore the LCM of Fractions 707/87,807/7863 is 190183
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 7863
List of positive integer factors of 7863 that divides 7863 without a remainder.
1,3,2621,7863
Greatest Common Factor
We found the factors 87,7863 . The biggest common factor number is the GCF number.
So the greatest common factor 87,7863 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 707/87, 807/7863?
Answer: LCM of Numerators as per given numbers 707/87, 807/7863 is
LCM of Numerators i.e. for 707,807 is 570549
GCF of denominators i.e. for 87,7863 is 3.
Thus, LCM of Fractions is 190183.Finally, LCM of Fractions for 707/87, 807/7863 is 190183.