Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4790/870, 6922/950 quickly i.e. 1657819 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4790/870, 6922/950 is 1657819.
LCM(4790/870, 6922/950) = 1657819
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4790/870,6922/950
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 4790,6922
Least Common Multiple of Numerators i.e. LCM of 4790,6922 is 16578190.
GCF of Denominators means GCF of 870,950 as per the given fractions.
GCF of 870,950 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4790,6922
2 | 4790, 6922 |
2395, 3461 |
∴ So the LCM of the given numbers is 2 x 2395 x 3461 = 16578190
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 4790,6922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4790,6922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4790,6922) x common factors =2 x 1 = 2
LCM(4790,6922) = ( 4790 × 6922 ) / 2
LCM(4790,6922) = 33156380 / 2
LCM(4790,6922) = 16578190
Lets's calculate GCF of 870,950
2 | 870, 950 |
5 | 435, 475 |
87, 95 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16578190/10
Therefore the LCM of Fractions 4790/870,6922/950 is 1657819
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 870,950 . The biggest common factor number is the GCF number.
So the greatest common factor 870,950 is 10.
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 4790/870, 6922/950?
Answer: LCM of Numerators as per given numbers 4790/870, 6922/950 is
LCM of Numerators i.e. for 4790,6922 is 16578190
GCF of denominators i.e. for 870,950 is 10.
Thus, LCM of Fractions is 1657819.Finally, LCM of Fractions for 4790/870, 6922/950 is 1657819.