Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 736/64, 698/56, 752/692 quickly i.e. 3018152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 736/64, 698/56, 752/692 is 3018152.
LCM(736/64, 698/56, 752/692) = 3018152
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 736/64,698/56,752/692
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 736,698,752
Least Common Multiple of Numerators i.e. LCM of 736,698,752 is 12072608.
GCF of Denominators means GCF of 64,56,692 as per the given fractions.
GCF of 64,56,692 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 736,698,752
2 | 736, 698, 752 |
2 | 368, 349, 376 |
2 | 184, 349, 188 |
2 | 92, 349, 94 |
46, 349, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 46 x 349 x 47 = 12072608
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 736,698,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,698,752) = 2
common factors(in case of two or more numbers have common factors) = 16
GCF(736,698,752) x common factors =2 x 16 = 32
LCM(736,698,752) = ( 736 × 698 × 752 ) / 32
LCM(736,698,752) = 386323456 / 32
LCM(736,698,752) = 12072608
Lets's calculate GCF of 64,56,692
2 | 64, 56, 692 |
2 | 32, 28, 346 |
16, 14, 173 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12072608/4
Therefore the LCM of Fractions 736/64,698/56,752/692 is 3018152
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 64,56,692 . The biggest common factor number is the GCF number.
So the greatest common factor 64,56,692 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 736/64, 698/56, 752/692?
Answer: LCM of Numerators as per given numbers 736/64, 698/56, 752/692 is
LCM of Numerators i.e. for 736,698,752 is 12072608
GCF of denominators i.e. for 64,56,692 is 4.
Thus, LCM of Fractions is 3018152.Finally, LCM of Fractions for 736/64, 698/56, 752/692 is 3018152.