Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/840, 4709/5516 quickly i.e. 291958/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/840, 4709/5516 is 291958/28.
LCM(62/840, 4709/5516) = 291958/28
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/840,4709/5516
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 62,4709
Least Common Multiple of Numerators i.e. LCM of 62,4709 is 291958.
GCF of Denominators means GCF of 840,5516 as per the given fractions.
GCF of 840,5516 is 28 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,4709
Given numbers has no common factors except 1. So, there LCM is their product i.e 291958
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 62,4709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,4709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,4709) x common factors =1 x 1 = 1
LCM(62,4709) = ( 62 × 4709 ) / 1
LCM(62,4709) = 291958 / 1
LCM(62,4709) = 291958
Lets's calculate GCF of 840,5516
2 | 840, 5516 |
2 | 420, 2758 |
7 | 210, 1379 |
30, 197 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291958/28
Therefore the LCM of Fractions 62/840,4709/5516 is 291958/28
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Factors of 5516
List of positive integer factors of 5516 that divides 5516 without a remainder.
1,2,4,7,14,28,197,394,788,1379,2758,5516
Greatest Common Factor
We found the factors 840,5516 . The biggest common factor number is the GCF number.
So the greatest common factor 840,5516 is 28.
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 62/840, 4709/5516?
Answer: LCM of Numerators as per given numbers 62/840, 4709/5516 is
LCM of Numerators i.e. for 62,4709 is 291958
GCF of denominators i.e. for 840,5516 is 28.
Thus, LCM of Fractions is 291958/28.Finally, LCM of Fractions for 62/840, 4709/5516 is 291958/28.