Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 698/47, 858/2603 quickly i.e. 299442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 698/47, 858/2603 is 299442.
LCM(698/47, 858/2603) = 299442
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 698/47,858/2603
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 698,858
Least Common Multiple of Numerators i.e. LCM of 698,858 is 299442.
GCF of Denominators means GCF of 47,2603 as per the given fractions.
GCF of 47,2603 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 698,858
2 | 698, 858 |
349, 429 |
∴ So the LCM of the given numbers is 2 x 349 x 429 = 299442
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 698,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,858) x common factors =2 x 1 = 2
LCM(698,858) = ( 698 × 858 ) / 2
LCM(698,858) = 598884 / 2
LCM(698,858) = 299442
Lets's calculate GCF of 47,2603
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299442/1
Therefore the LCM of Fractions 698/47,858/2603 is 299442
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 2603
List of positive integer factors of 2603 that divides 2603 without a remainder.
1,19,137,2603
Greatest Common Factor
We found the factors 47,2603 . The biggest common factor number is the GCF number.
So the greatest common factor 47,2603 is 1.
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 698/47, 858/2603?
Answer: LCM of Numerators as per given numbers 698/47, 858/2603 is
LCM of Numerators i.e. for 698,858 is 299442
GCF of denominators i.e. for 47,2603 is 1.
Thus, LCM of Fractions is 299442.Finally, LCM of Fractions for 698/47, 858/2603 is 299442.