Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 176/42, 310/44, 458/698 quickly i.e. 3123560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 176/42, 310/44, 458/698 is 3123560.
LCM(176/42, 310/44, 458/698) = 3123560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 176/42,310/44,458/698
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 176,310,458
Least Common Multiple of Numerators i.e. LCM of 176,310,458 is 6247120.
GCF of Denominators means GCF of 42,44,698 as per the given fractions.
GCF of 42,44,698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 176,310,458
2 | 176, 310, 458 |
88, 155, 229 |
∴ So the LCM of the given numbers is 2 x 88 x 155 x 229 = 6247120
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 176,310,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,310,458) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(176,310,458) x common factors =2 x 2 = 4
LCM(176,310,458) = ( 176 × 310 × 458 ) / 4
LCM(176,310,458) = 24988480 / 4
LCM(176,310,458) = 6247120
Lets's calculate GCF of 42,44,698
2 | 42, 44, 698 |
21, 22, 349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6247120/2
Therefore the LCM of Fractions 176/42,310/44,458/698 is 3123560
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 42,44,698 . The biggest common factor number is the GCF number.
So the greatest common factor 42,44,698 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 176/42, 310/44, 458/698?
Answer: LCM of Numerators as per given numbers 176/42, 310/44, 458/698 is
LCM of Numerators i.e. for 176,310,458 is 6247120
GCF of denominators i.e. for 42,44,698 is 2.
Thus, LCM of Fractions is 3123560.Finally, LCM of Fractions for 176/42, 310/44, 458/698 is 3123560.