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LCM of 464, 666, 740, 632

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


Find the LCM of 464, 666, 740, 632 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 464, 666, 740, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,666,740,632

Given numbers are 464,666,740,632

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

The LCM of 464,666,740,632 is 61032240.

Find LCM of 464,666,740,632 with Prime Factorization


2 464, 666, 740, 632
2 232, 333, 370, 316
2 116, 333, 185, 158
37 58, 333, 185, 79
58, 9, 5, 79

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

2 x 2 x 2 x 37 x 58 x 9 x 5 x 79 = 61032240

Therefore, the lowest common multiple of 464,666,740,632 is 61032240.

LCM Formula to Find Lowest Common Multiple of 464,666,740,632

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.

464 x 666 x 740 x 632 = 144524344320

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

632 : 1, 2, 4, 8, 79, 158, 316, 632

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,666,740,632, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

666:2x 3x 3x 37

740:2x 2x 5x 37

632:2x 2x 2x 79

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

2x 2x 2x 2x 2x 37 = 1184

Therefore, the value for common factors is 1184.

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 = 144524344320/(2x1184)

LCM = 144524344320/2368

LCM = 61032240

Thus, we can understand that the LCM of 464,666,740,632 is 61032240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 666, 740, 632

1. What is the LCM of 464, 666, 740, 632?

Answer: LCM of 464, 666, 740, 632 is 61032240.

2. How to calculate the LCM of 464, 666, 740, 632?

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 464, 666, 740, 632.

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}.