Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 349/68, 822/85, 140/970 quickly i.e. 20081460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 349/68, 822/85, 140/970 is 20081460.
LCM(349/68, 822/85, 140/970) = 20081460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 349/68,822/85,140/970
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 349,822,140
Least Common Multiple of Numerators i.e. LCM of 349,822,140 is 20081460.
GCF of Denominators means GCF of 68,85,970 as per the given fractions.
GCF of 68,85,970 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 349,822,140
2 | 349, 822, 140 |
349, 411, 70 |
∴ So the LCM of the given numbers is 2 x 349 x 411 x 70 = 20081460
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 349,822,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,822,140) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(349,822,140) x common factors =1 x 2 = 2
LCM(349,822,140) = ( 349 × 822 × 140 ) / 2
LCM(349,822,140) = 40162920 / 2
LCM(349,822,140) = 20081460
Lets's calculate GCF of 68,85,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20081460/1
Therefore the LCM of Fractions 349/68,822/85,140/970 is 20081460
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 68,85,970 . The biggest common factor number is the GCF number.
So the greatest common factor 68,85,970 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 349/68, 822/85, 140/970?
Answer: LCM of Numerators as per given numbers 349/68, 822/85, 140/970 is
LCM of Numerators i.e. for 349,822,140 is 20081460
GCF of denominators i.e. for 68,85,970 is 1.
Thus, LCM of Fractions is 20081460.Finally, LCM of Fractions for 349/68, 822/85, 140/970 is 20081460.