Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/498, 436/152, 106/658 quickly i.e. 11010962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/498, 436/152, 106/658 is 11010962.
LCM(953/498, 436/152, 106/658) = 11010962
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/498,436/152,106/658
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 953,436,106
Least Common Multiple of Numerators i.e. LCM of 953,436,106 is 22021924.
GCF of Denominators means GCF of 498,152,658 as per the given fractions.
GCF of 498,152,658 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,436,106
2 | 953, 436, 106 |
953, 218, 53 |
∴ So the LCM of the given numbers is 2 x 953 x 218 x 53 = 22021924
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 953,436,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,436,106) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(953,436,106) x common factors =1 x 2 = 2
LCM(953,436,106) = ( 953 × 436 × 106 ) / 2
LCM(953,436,106) = 44043848 / 2
LCM(953,436,106) = 22021924
Lets's calculate GCF of 498,152,658
2 | 498, 152, 658 |
249, 76, 329 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22021924/2
Therefore the LCM of Fractions 953/498,436/152,106/658 is 11010962
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 498,152,658 . The biggest common factor number is the GCF number.
So the greatest common factor 498,152,658 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 953/498, 436/152, 106/658?
Answer: LCM of Numerators as per given numbers 953/498, 436/152, 106/658 is
LCM of Numerators i.e. for 953,436,106 is 22021924
GCF of denominators i.e. for 498,152,658 is 2.
Thus, LCM of Fractions is 11010962.Finally, LCM of Fractions for 953/498, 436/152, 106/658 is 11010962.