Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 701/10, 882/56, 907/885 quickly i.e. 560781774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 701/10, 882/56, 907/885 is 560781774.
LCM(701/10, 882/56, 907/885) = 560781774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 701/10,882/56,907/885
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 701,882,907
Least Common Multiple of Numerators i.e. LCM of 701,882,907 is 560781774.
GCF of Denominators means GCF of 10,56,885 as per the given fractions.
GCF of 10,56,885 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 701,882,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 560781774
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 701,882,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,882,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,882,907) x common factors =1 x 1 = 1
LCM(701,882,907) = ( 701 × 882 × 907 ) / 1
LCM(701,882,907) = 560781774 / 1
LCM(701,882,907) = 560781774
Lets's calculate GCF of 10,56,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 560781774/1
Therefore the LCM of Fractions 701/10,882/56,907/885 is 560781774
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
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 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 10,56,885 . The biggest common factor number is the GCF number.
So the greatest common factor 10,56,885 is 1.
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 701/10, 882/56, 907/885?
Answer: LCM of Numerators as per given numbers 701/10, 882/56, 907/885 is
LCM of Numerators i.e. for 701,882,907 is 560781774
GCF of denominators i.e. for 10,56,885 is 1.
Thus, LCM of Fractions is 560781774.Finally, LCM of Fractions for 701/10, 882/56, 907/885 is 560781774.