Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 754/72, 910/48, 448/562 quickly i.e. 422240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 754/72, 910/48, 448/562 is 422240.
LCM(754/72, 910/48, 448/562) = 422240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 754/72,910/48,448/562
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 754,910,448
Least Common Multiple of Numerators i.e. LCM of 754,910,448 is 844480.
GCF of Denominators means GCF of 72,48,562 as per the given fractions.
GCF of 72,48,562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 754,910,448
2 | 754, 910, 448 |
7 | 377, 455, 224 |
13 | 377, 65, 32 |
29, 5, 32 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 29 x 5 x 32 = 844480
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 754,910,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,910,448) = 2
common factors(in case of two or more numbers have common factors) = 182
GCF(754,910,448) x common factors =2 x 182 = 364
LCM(754,910,448) = ( 754 × 910 × 448 ) / 364
LCM(754,910,448) = 307390720 / 364
LCM(754,910,448) = 844480
Lets's calculate GCF of 72,48,562
2 | 72, 48, 562 |
36, 24, 281 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 844480/2
Therefore the LCM of Fractions 754/72,910/48,448/562 is 422240
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 72,48,562 . The biggest common factor number is the GCF number.
So the greatest common factor 72,48,562 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 754/72, 910/48, 448/562?
Answer: LCM of Numerators as per given numbers 754/72, 910/48, 448/562 is
LCM of Numerators i.e. for 754,910,448 is 844480
GCF of denominators i.e. for 72,48,562 is 2.
Thus, LCM of Fractions is 422240.Finally, LCM of Fractions for 754/72, 910/48, 448/562 is 422240.