Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/626, 842/890, 102/110 quickly i.e. 858840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/626, 842/890, 102/110 is 858840.
LCM(80/626, 842/890, 102/110) = 858840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/626,842/890,102/110
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 80,842,102
Least Common Multiple of Numerators i.e. LCM of 80,842,102 is 1717680.
GCF of Denominators means GCF of 626,890,110 as per the given fractions.
GCF of 626,890,110 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,842,102
2 | 80, 842, 102 |
40, 421, 51 |
∴ So the LCM of the given numbers is 2 x 40 x 421 x 51 = 1717680
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 80,842,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,842,102) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(80,842,102) x common factors =2 x 2 = 4
LCM(80,842,102) = ( 80 × 842 × 102 ) / 4
LCM(80,842,102) = 6870720 / 4
LCM(80,842,102) = 1717680
Lets's calculate GCF of 626,890,110
2 | 626, 890, 110 |
313, 445, 55 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1717680/2
Therefore the LCM of Fractions 80/626,842/890,102/110 is 858840
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 626,890,110 . The biggest common factor number is the GCF number.
So the greatest common factor 626,890,110 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 80/626, 842/890, 102/110?
Answer: LCM of Numerators as per given numbers 80/626, 842/890, 102/110 is
LCM of Numerators i.e. for 80,842,102 is 1717680
GCF of denominators i.e. for 626,890,110 is 2.
Thus, LCM of Fractions is 858840.Finally, LCM of Fractions for 80/626, 842/890, 102/110 is 858840.