Least Common Multiple of 752/66, 616/2046

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/66, 616/2046 quickly i.e. 57904/66 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/66, 616/2046 is 57904/66.

LCM(752/66, 616/2046) = 57904/66

LCM of 752/66, 616/2046

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 752/66,616/2046

Given numbers are 752/66,616/2046

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 752,616

Least Common Multiple of Numerators i.e. LCM of 752,616 is 57904.

GCF of Denominators means GCF of 66,2046 as per the given fractions.

GCF of 66,2046 is 66 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,616

LCM of Fractions 752/66,616/2046 is 57904/66

2 752, 616
2 376, 308
2 188, 154
94, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 94 x 77 = 57904

Least Common Multiple of 752,616 with GCF Formula

Least Common Multiple of 752,616 with GCF Formula

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 752,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,616) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(752,616) x common factors =8 x 1 = 8

LCM(752,616) = ( 752 × 616 ) / 8

LCM(752,616) = 463232 / 8

LCM(752,616) = 57904


Lets's calculate GCF of 66,2046

2 66, 2046
3 33, 1023
11 11, 341
1, 31

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57904/66

Therefore the LCM of Fractions 752/66,616/2046 is 57904/66

Greatest Common Factor of 66,2046 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,2046 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 2046

List of positive integer factors of 2046 that divides 2046 without a remainder.

1,2,3,6,11,22,31,33,62,66,93,186,341,682,1023,2046

Greatest Common Factor

We found the factors 66,2046 . The biggest common factor number is the GCF number.
So the greatest common factor 66,2046 is 66.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 752/66, 616/2046

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 752/66, 616/2046?

Answer: LCM of Numerators as per given numbers 752/66, 616/2046 is

LCM of Numerators i.e. for 752,616 is 57904

GCF of denominators i.e. for 66,2046 is 66.

Thus, LCM of Fractions is 57904/66.Finally, LCM of Fractions for 752/66, 616/2046 is 57904/66.