Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/662, 85/476, 897/514 quickly i.e. 533715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/662, 85/476, 897/514 is 533715.
LCM(70/662, 85/476, 897/514) = 533715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/662,85/476,897/514
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 70,85,897
Least Common Multiple of Numerators i.e. LCM of 70,85,897 is 1067430.
GCF of Denominators means GCF of 662,476,514 as per the given fractions.
GCF of 662,476,514 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,85,897
5 | 70, 85, 897 |
14, 17, 897 |
∴ So the LCM of the given numbers is 5 x 14 x 17 x 897 = 1067430
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 70,85,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,85,897) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(70,85,897) x common factors =1 x 5 = 5
LCM(70,85,897) = ( 70 × 85 × 897 ) / 5
LCM(70,85,897) = 5337150 / 5
LCM(70,85,897) = 1067430
Lets's calculate GCF of 662,476,514
2 | 662, 476, 514 |
331, 238, 257 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1067430/2
Therefore the LCM of Fractions 70/662,85/476,897/514 is 533715
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Greatest Common Factor
We found the factors 662,476,514 . The biggest common factor number is the GCF number.
So the greatest common factor 662,476,514 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 70/662, 85/476, 897/514?
Answer: LCM of Numerators as per given numbers 70/662, 85/476, 897/514 is
LCM of Numerators i.e. for 70,85,897 is 1067430
GCF of denominators i.e. for 662,476,514 is 2.
Thus, LCM of Fractions is 533715.Finally, LCM of Fractions for 70/662, 85/476, 897/514 is 533715.