Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/700, 39/455 quickly i.e. 3471/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/700, 39/455 is 3471/35.
LCM(89/700, 39/455) = 3471/35
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/700,39/455
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 89,39
Least Common Multiple of Numerators i.e. LCM of 89,39 is 3471.
GCF of Denominators means GCF of 700,455 as per the given fractions.
GCF of 700,455 is 35 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,39
Given numbers has no common factors except 1. So, there LCM is their product i.e 3471
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 89,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,39) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,39) x common factors =1 x 1 = 1
LCM(89,39) = ( 89 × 39 ) / 1
LCM(89,39) = 3471 / 1
LCM(89,39) = 3471
Lets's calculate GCF of 700,455
5 | 700, 455 |
7 | 140, 91 |
20, 13 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3471/35
Therefore the LCM of Fractions 89/700,39/455 is 3471/35
Factors of 700
List of positive integer factors of 700 that divides 700 without a remainder.
1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1,5,7,13,35,65,91,455
Greatest Common Factor
We found the factors 700,455 . The biggest common factor number is the GCF number.
So the greatest common factor 700,455 is 35.
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 89/700, 39/455?
Answer: LCM of Numerators as per given numbers 89/700, 39/455 is
LCM of Numerators i.e. for 89,39 is 3471
GCF of denominators i.e. for 700,455 is 35.
Thus, LCM of Fractions is 3471/35.Finally, LCM of Fractions for 89/700, 39/455 is 3471/35.