Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/930, 88/762, 757/297 quickly i.e. 599544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/930, 88/762, 757/297 is 599544.
LCM(54/930, 88/762, 757/297) = 599544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/930,88/762,757/297
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 54,88,757
Least Common Multiple of Numerators i.e. LCM of 54,88,757 is 1798632.
GCF of Denominators means GCF of 930,762,297 as per the given fractions.
GCF of 930,762,297 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,88,757
2 | 54, 88, 757 |
27, 44, 757 |
∴ So the LCM of the given numbers is 2 x 27 x 44 x 757 = 1798632
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 54,88,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,88,757) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,88,757) x common factors =1 x 2 = 2
LCM(54,88,757) = ( 54 × 88 × 757 ) / 2
LCM(54,88,757) = 3597264 / 2
LCM(54,88,757) = 1798632
Lets's calculate GCF of 930,762,297
3 | 930, 762, 297 |
310, 254, 99 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1798632/3
Therefore the LCM of Fractions 54/930,88/762,757/297 is 599544
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 930,762,297 . The biggest common factor number is the GCF number.
So the greatest common factor 930,762,297 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 54/930, 88/762, 757/297?
Answer: LCM of Numerators as per given numbers 54/930, 88/762, 757/297 is
LCM of Numerators i.e. for 54,88,757 is 1798632
GCF of denominators i.e. for 930,762,297 is 3.
Thus, LCM of Fractions is 599544.Finally, LCM of Fractions for 54/930, 88/762, 757/297 is 599544.