Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/775, 301/211, 760/974 quickly i.e. 1601320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/775, 301/211, 760/974 is 1601320.
LCM(98/775, 301/211, 760/974) = 1601320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/775,301/211,760/974
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 98,301,760
Least Common Multiple of Numerators i.e. LCM of 98,301,760 is 1601320.
GCF of Denominators means GCF of 775,211,974 as per the given fractions.
GCF of 775,211,974 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,301,760
2 | 98, 301, 760 |
7 | 49, 301, 380 |
7, 43, 380 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 43 x 380 = 1601320
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 98,301,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,301,760) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(98,301,760) x common factors =1 x 14 = 14
LCM(98,301,760) = ( 98 × 301 × 760 ) / 14
LCM(98,301,760) = 22418480 / 14
LCM(98,301,760) = 1601320
Lets's calculate GCF of 775,211,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1601320/1
Therefore the LCM of Fractions 98/775,301/211,760/974 is 1601320
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Greatest Common Factor
We found the factors 775,211,974 . The biggest common factor number is the GCF number.
So the greatest common factor 775,211,974 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 98/775, 301/211, 760/974?
Answer: LCM of Numerators as per given numbers 98/775, 301/211, 760/974 is
LCM of Numerators i.e. for 98,301,760 is 1601320
GCF of denominators i.e. for 775,211,974 is 1.
Thus, LCM of Fractions is 1601320.Finally, LCM of Fractions for 98/775, 301/211, 760/974 is 1601320.