Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/62, 77/282, 373/390 quickly i.e. 201047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/62, 77/282, 373/390 is 201047.
LCM(98/62, 77/282, 373/390) = 201047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/62,77/282,373/390
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 98,77,373
Least Common Multiple of Numerators i.e. LCM of 98,77,373 is 402094.
GCF of Denominators means GCF of 62,282,390 as per the given fractions.
GCF of 62,282,390 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,77,373
7 | 98, 77, 373 |
14, 11, 373 |
∴ So the LCM of the given numbers is 7 x 14 x 11 x 373 = 402094
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 98,77,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,77,373) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(98,77,373) x common factors =1 x 7 = 7
LCM(98,77,373) = ( 98 × 77 × 373 ) / 7
LCM(98,77,373) = 2814658 / 7
LCM(98,77,373) = 402094
Lets's calculate GCF of 62,282,390
2 | 62, 282, 390 |
31, 141, 195 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402094/2
Therefore the LCM of Fractions 98/62,77/282,373/390 is 201047
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 62,282,390 . The biggest common factor number is the GCF number.
So the greatest common factor 62,282,390 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 98/62, 77/282, 373/390?
Answer: LCM of Numerators as per given numbers 98/62, 77/282, 373/390 is
LCM of Numerators i.e. for 98,77,373 is 402094
GCF of denominators i.e. for 62,282,390 is 2.
Thus, LCM of Fractions is 201047.Finally, LCM of Fractions for 98/62, 77/282, 373/390 is 201047.