Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 860/150, 2598/980 quickly i.e. 111714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 860/150, 2598/980 is 111714.
LCM(860/150, 2598/980) = 111714
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 860/150,2598/980
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 860,2598
Least Common Multiple of Numerators i.e. LCM of 860,2598 is 1117140.
GCF of Denominators means GCF of 150,980 as per the given fractions.
GCF of 150,980 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 860,2598
2 | 860, 2598 |
430, 1299 |
∴ So the LCM of the given numbers is 2 x 430 x 1299 = 1117140
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 860,2598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,2598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(860,2598) x common factors =2 x 1 = 2
LCM(860,2598) = ( 860 × 2598 ) / 2
LCM(860,2598) = 2234280 / 2
LCM(860,2598) = 1117140
Lets's calculate GCF of 150,980
2 | 150, 980 |
5 | 75, 490 |
15, 98 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1117140/10
Therefore the LCM of Fractions 860/150,2598/980 is 111714
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 150,980 . The biggest common factor number is the GCF number.
So the greatest common factor 150,980 is 10.
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 860/150, 2598/980?
Answer: LCM of Numerators as per given numbers 860/150, 2598/980 is
LCM of Numerators i.e. for 860,2598 is 1117140
GCF of denominators i.e. for 150,980 is 10.
Thus, LCM of Fractions is 111714.Finally, LCM of Fractions for 860/150, 2598/980 is 111714.