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LCM of 264, 473, 722, 387

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 264, 473, 722, 387 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 264, 473, 722, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 264,473,722,387

Given numbers are 264,473,722,387

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 264,473,722,387 is 12294216.

Find LCM of 264,473,722,387 with Prime Factorization


2 264, 473, 722, 387
3 132, 473, 361, 387
11 44, 473, 361, 129
43 4, 43, 361, 129
4, 1, 361, 3

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 11 x 43 x 4 x 1 x 361 x 3 = 12294216

Therefore, the lowest common multiple of 264,473,722,387 is 12294216.

LCM Formula to Find Lowest Common Multiple of 264,473,722,387

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

264 x 473 x 722 x 387 = 34890985008

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

473 : 1, 11, 43, 473

722 : 1, 2, 19, 38, 361, 722

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,473,722,387, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

473:11x 43

722:2x 19x 19

387:3x 3x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 11x 43 = 2838

Therefore, the value for common factors is 2838.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 34890985008/(1x2838)

LCM = 34890985008/2838

LCM = 12294216

Thus, we can understand that the LCM of 264,473,722,387 is 12294216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 264, 473, 722, 387

1. What is the LCM of 264, 473, 722, 387?

Answer: LCM of 264, 473, 722, 387 is 12294216.

2. How to calculate the LCM of 264, 473, 722, 387?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 264, 473, 722, 387.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.