Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 265/458, 4206/5670 quickly i.e. 557295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 265/458, 4206/5670 is 557295.
LCM(265/458, 4206/5670) = 557295
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 265/458,4206/5670
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 265,4206
Least Common Multiple of Numerators i.e. LCM of 265,4206 is 1114590.
GCF of Denominators means GCF of 458,5670 as per the given fractions.
GCF of 458,5670 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 265,4206
Given numbers has no common factors except 1. So, there LCM is their product i.e 1114590
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 265,4206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,4206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,4206) x common factors =1 x 1 = 1
LCM(265,4206) = ( 265 × 4206 ) / 1
LCM(265,4206) = 1114590 / 1
LCM(265,4206) = 1114590
Lets's calculate GCF of 458,5670
2 | 458, 5670 |
229, 2835 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1114590/2
Therefore the LCM of Fractions 265/458,4206/5670 is 557295
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 5670
List of positive integer factors of 5670 that divides 5670 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670
Greatest Common Factor
We found the factors 458,5670 . The biggest common factor number is the GCF number.
So the greatest common factor 458,5670 is 2.
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 265/458, 4206/5670?
Answer: LCM of Numerators as per given numbers 265/458, 4206/5670 is
LCM of Numerators i.e. for 265,4206 is 1114590
GCF of denominators i.e. for 458,5670 is 2.
Thus, LCM of Fractions is 557295.Finally, LCM of Fractions for 265/458, 4206/5670 is 557295.