Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/240, 752/656, 497/504 quickly i.e. 233590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/240, 752/656, 497/504 is 233590.
LCM(70/240, 752/656, 497/504) = 233590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/240,752/656,497/504
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 70,752,497
Least Common Multiple of Numerators i.e. LCM of 70,752,497 is 1868720.
GCF of Denominators means GCF of 240,656,504 as per the given fractions.
GCF of 240,656,504 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,752,497
2 | 70, 752, 497 |
7 | 35, 376, 497 |
5, 376, 71 |
∴ So the LCM of the given numbers is 2 x 7 x 5 x 376 x 71 = 1868720
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 70,752,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,752,497) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(70,752,497) x common factors =1 x 14 = 14
LCM(70,752,497) = ( 70 × 752 × 497 ) / 14
LCM(70,752,497) = 26162080 / 14
LCM(70,752,497) = 1868720
Lets's calculate GCF of 240,656,504
2 | 240, 656, 504 |
2 | 120, 328, 252 |
2 | 60, 164, 126 |
30, 82, 63 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1868720/8
Therefore the LCM of Fractions 70/240,752/656,497/504 is 233590
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 240,656,504 . The biggest common factor number is the GCF number.
So the greatest common factor 240,656,504 is 8.
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 70/240, 752/656, 497/504?
Answer: LCM of Numerators as per given numbers 70/240, 752/656, 497/504 is
LCM of Numerators i.e. for 70,752,497 is 1868720
GCF of denominators i.e. for 240,656,504 is 8.
Thus, LCM of Fractions is 233590.Finally, LCM of Fractions for 70/240, 752/656, 497/504 is 233590.