Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 370/436, 830/918, 316/308 quickly i.e. 2426090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 370/436, 830/918, 316/308 is 2426090.
LCM(370/436, 830/918, 316/308) = 2426090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 370/436,830/918,316/308
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 370,830,316
Least Common Multiple of Numerators i.e. LCM of 370,830,316 is 4852180.
GCF of Denominators means GCF of 436,918,308 as per the given fractions.
GCF of 436,918,308 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 370,830,316
2 | 370, 830, 316 |
5 | 185, 415, 158 |
37, 83, 158 |
∴ So the LCM of the given numbers is 2 x 5 x 37 x 83 x 158 = 4852180
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 370,830,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,830,316) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(370,830,316) x common factors =2 x 10 = 20
LCM(370,830,316) = ( 370 × 830 × 316 ) / 20
LCM(370,830,316) = 97043600 / 20
LCM(370,830,316) = 4852180
Lets's calculate GCF of 436,918,308
2 | 436, 918, 308 |
218, 459, 154 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4852180/2
Therefore the LCM of Fractions 370/436,830/918,316/308 is 2426090
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 436,918,308 . The biggest common factor number is the GCF number.
So the greatest common factor 436,918,308 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 370/436, 830/918, 316/308?
Answer: LCM of Numerators as per given numbers 370/436, 830/918, 316/308 is
LCM of Numerators i.e. for 370,830,316 is 4852180
GCF of denominators i.e. for 436,918,308 is 2.
Thus, LCM of Fractions is 2426090.Finally, LCM of Fractions for 370/436, 830/918, 316/308 is 2426090.