Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/297, 387/282, 590/888 quickly i.e. 532770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/297, 387/282, 590/888 is 532770.
LCM(70/297, 387/282, 590/888) = 532770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/297,387/282,590/888
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 70,387,590
Least Common Multiple of Numerators i.e. LCM of 70,387,590 is 1598310.
GCF of Denominators means GCF of 297,282,888 as per the given fractions.
GCF of 297,282,888 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,387,590
2 | 70, 387, 590 |
5 | 35, 387, 295 |
7, 387, 59 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 387 x 59 = 1598310
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 70,387,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,387,590) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,387,590) x common factors =1 x 10 = 10
LCM(70,387,590) = ( 70 × 387 × 590 ) / 10
LCM(70,387,590) = 15983100 / 10
LCM(70,387,590) = 1598310
Lets's calculate GCF of 297,282,888
3 | 297, 282, 888 |
99, 94, 296 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1598310/3
Therefore the LCM of Fractions 70/297,387/282,590/888 is 532770
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Greatest Common Factor
We found the factors 297,282,888 . The biggest common factor number is the GCF number.
So the greatest common factor 297,282,888 is 3.
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 70/297, 387/282, 590/888?
Answer: LCM of Numerators as per given numbers 70/297, 387/282, 590/888 is
LCM of Numerators i.e. for 70,387,590 is 1598310
GCF of denominators i.e. for 297,282,888 is 3.
Thus, LCM of Fractions is 532770.Finally, LCM of Fractions for 70/297, 387/282, 590/888 is 532770.