Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/752, 790/452, 911/564 quickly i.e. 7916590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/752, 790/452, 911/564 is 7916590.
LCM(88/752, 790/452, 911/564) = 7916590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/752,790/452,911/564
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 88,790,911
Least Common Multiple of Numerators i.e. LCM of 88,790,911 is 31666360.
GCF of Denominators means GCF of 752,452,564 as per the given fractions.
GCF of 752,452,564 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,790,911
2 | 88, 790, 911 |
44, 395, 911 |
∴ So the LCM of the given numbers is 2 x 44 x 395 x 911 = 31666360
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 88,790,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,790,911) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,790,911) x common factors =1 x 2 = 2
LCM(88,790,911) = ( 88 × 790 × 911 ) / 2
LCM(88,790,911) = 63332720 / 2
LCM(88,790,911) = 31666360
Lets's calculate GCF of 752,452,564
2 | 752, 452, 564 |
2 | 376, 226, 282 |
188, 113, 141 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31666360/4
Therefore the LCM of Fractions 88/752,790/452,911/564 is 7916590
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Factors of 564
List of positive integer factors of 564 that divides 564 without a remainder.
1,2,3,4,6,12,47,94,141,188,282,564
Greatest Common Factor
We found the factors 752,452,564 . The biggest common factor number is the GCF number.
So the greatest common factor 752,452,564 is 4.
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 88/752, 790/452, 911/564?
Answer: LCM of Numerators as per given numbers 88/752, 790/452, 911/564 is
LCM of Numerators i.e. for 88,790,911 is 31666360
GCF of denominators i.e. for 752,452,564 is 4.
Thus, LCM of Fractions is 7916590.Finally, LCM of Fractions for 88/752, 790/452, 911/564 is 7916590.