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LCM of 278, 128, 782, 832, 960

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


Find the LCM of 278, 128, 782, 832, 960 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 278, 128, 782, 832, 960. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 278,128,782,832,960

Given numbers are 278,128,782,832,960

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

The LCM of 278,128,782,832,960 is 1356551040.

Find LCM of 278,128,782,832,960 with Prime Factorization


2 278, 128, 782, 832, 960
2 139, 64, 391, 416, 480
2 139, 32, 391, 208, 240
2 139, 16, 391, 104, 120
2 139, 8, 391, 52, 60
2 139, 4, 391, 26, 30
139, 2, 391, 13, 15

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

2 x 2 x 2 x 2 x 2 x 2 x 139 x 2 x 391 x 13 x 15 = 1356551040

Therefore, the lowest common multiple of 278,128,782,832,960 is 1356551040.

LCM Formula to Find Lowest Common Multiple of 278,128,782,832,960

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.

278 x 128 x 782 x 832 x 960 = 22225732239360

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.

278 : 1, 2, 139, 278

128 : 1, 2, 4, 8, 16, 32, 64, 128

782 : 1, 2, 17, 23, 34, 46, 391, 782

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,128,782,832,960, is 2.

Now, the common factors can be found like this.

278:2x 139

128:2x 2x 2x 2x 2x 2x 2

782:2x 17x 23

832:2x 2x 2x 2x 2x 2x 13

960:2x 2x 2x 2x 2x 2x 3x 5

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 2x 2x 2x 2x 2x 2x 2x 2 = 8192

Therefore, the value for common factors is 8192.

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 = 22225732239360/(2x8192)

LCM = 22225732239360/16384

LCM = 1356551040

Thus, we can understand that the LCM of 278,128,782,832,960 is 1356551040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 278, 128, 782, 832, 960

1. What is the LCM of 278, 128, 782, 832, 960?

Answer: LCM of 278, 128, 782, 832, 960 is 1356551040.

2. How to calculate the LCM of 278, 128, 782, 832, 960?

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 278, 128, 782, 832, 960.

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}.