Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 601/98, 207/2520 quickly i.e. 124407/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 601/98, 207/2520 is 124407/14.
LCM(601/98, 207/2520) = 124407/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 601/98,207/2520
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 601,207
Least Common Multiple of Numerators i.e. LCM of 601,207 is 124407.
GCF of Denominators means GCF of 98,2520 as per the given fractions.
GCF of 98,2520 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 601,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 124407
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 601,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,207) x common factors =1 x 1 = 1
LCM(601,207) = ( 601 × 207 ) / 1
LCM(601,207) = 124407 / 1
LCM(601,207) = 124407
Lets's calculate GCF of 98,2520
2 | 98, 2520 |
7 | 49, 1260 |
7, 180 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124407/14
Therefore the LCM of Fractions 601/98,207/2520 is 124407/14
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 2520
List of positive integer factors of 2520 that divides 2520 without a remainder.
1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 98,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 98,2520 is 14.
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 601/98, 207/2520?
Answer: LCM of Numerators as per given numbers 601/98, 207/2520 is
LCM of Numerators i.e. for 601,207 is 124407
GCF of denominators i.e. for 98,2520 is 14.
Thus, LCM of Fractions is 124407/14.Finally, LCM of Fractions for 601/98, 207/2520 is 124407/14.