Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 598/528, 889/698 quickly i.e. 265811 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 598/528, 889/698 is 265811.
LCM(598/528, 889/698) = 265811
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 598/528,889/698
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 598,889
Least Common Multiple of Numerators i.e. LCM of 598,889 is 531622.
GCF of Denominators means GCF of 528,698 as per the given fractions.
GCF of 528,698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 598,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 531622
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 598,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,889) x common factors =1 x 1 = 1
LCM(598,889) = ( 598 × 889 ) / 1
LCM(598,889) = 531622 / 1
LCM(598,889) = 531622
Lets's calculate GCF of 528,698
2 | 528, 698 |
264, 349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531622/2
Therefore the LCM of Fractions 598/528,889/698 is 265811
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 528,698 . The biggest common factor number is the GCF number.
So the greatest common factor 528,698 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 598/528, 889/698?
Answer: LCM of Numerators as per given numbers 598/528, 889/698 is
LCM of Numerators i.e. for 598,889 is 531622
GCF of denominators i.e. for 528,698 is 2.
Thus, LCM of Fractions is 265811.Finally, LCM of Fractions for 598/528, 889/698 is 265811.