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LCM of 472, 640, 661, 444

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


Find the LCM of 472, 640, 661, 444 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 472, 640, 661, 444. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 472,640,661,444

Given numbers are 472,640,661,444

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

The LCM of 472,640,661,444 is 2770488960.

Find LCM of 472,640,661,444 with Prime Factorization


2 472, 640, 661, 444
2 236, 320, 661, 222
2 118, 160, 661, 111
59, 80, 661, 111

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

2 x 2 x 2 x 59 x 80 x 661 x 111 = 2770488960

Therefore, the lowest common multiple of 472,640,661,444 is 2770488960.

LCM Formula to Find Lowest Common Multiple of 472,640,661,444

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.

472 x 640 x 661 x 444 = 88655646720

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

661 : 1, 661

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,640,661,444, is 1.

Now, the common factors can be found like this.

472:2x 2x 2x 59

640:2x 2x 2x 2x 2x 2x 2x 5

661:661

444:2x 2x 3x 37

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 2 = 32

Therefore, the value for common factors is 32.

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 = 88655646720/(1x32)

LCM = 88655646720/32

LCM = 2770488960

Thus, we can understand that the LCM of 472,640,661,444 is 2770488960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 472, 640, 661, 444

1. What is the LCM of 472, 640, 661, 444?

Answer: LCM of 472, 640, 661, 444 is 2770488960.

2. How to calculate the LCM of 472, 640, 661, 444?

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 472, 640, 661, 444.

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}.