Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2623/822, 2126/840 quickly i.e. 5576498/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2623/822, 2126/840 is 5576498/6.
LCM(2623/822, 2126/840) = 5576498/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2623/822,2126/840
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 2623,2126
Least Common Multiple of Numerators i.e. LCM of 2623,2126 is 5576498.
GCF of Denominators means GCF of 822,840 as per the given fractions.
GCF of 822,840 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2623,2126
Given numbers has no common factors except 1. So, there LCM is their product i.e 5576498
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 2623,2126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2623,2126) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2623,2126) x common factors =1 x 1 = 1
LCM(2623,2126) = ( 2623 × 2126 ) / 1
LCM(2623,2126) = 5576498 / 1
LCM(2623,2126) = 5576498
Lets's calculate GCF of 822,840
2 | 822, 840 |
3 | 411, 420 |
137, 140 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5576498/6
Therefore the LCM of Fractions 2623/822,2126/840 is 5576498/6
Factors of 822
List of positive integer factors of 822 that divides 822 without a remainder.
1,2,3,6,137,274,411,822
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
Greatest Common Factor
We found the factors 822,840 . The biggest common factor number is the GCF number.
So the greatest common factor 822,840 is 6.
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 2623/822, 2126/840?
Answer: LCM of Numerators as per given numbers 2623/822, 2126/840 is
LCM of Numerators i.e. for 2623,2126 is 5576498
GCF of denominators i.e. for 822,840 is 6.
Thus, LCM of Fractions is 5576498/6.Finally, LCM of Fractions for 2623/822, 2126/840 is 5576498/6.