Given numbers are 338,432,190,128,565

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

The LCM of 338,432,190,128,565 is 6269927040.

Find LCM of 338,432,190,128,565 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 169 x 27 x 19 x 8 x 113 = 6269927040

Therefore, the lowest common multiple of 338,432,190,128,565 is 6269927040.

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.

338 x 432 x 190 x 128 x 565 = 2006376652800

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.

338 : 1, 2, 13, 26, 169, 338

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

190 : 1, 2, 5, 10, 19, 38, 95, 190

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

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,432,190,128,565, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

432:2x 2x 2x 2x 3x 3x 3

190:2x 5x 19

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

565:5x 113

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 5 = 320

Therefore, the value for common factors is 320.

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 = 2006376652800/(1x320)

LCM = 2006376652800/320

LCM = 6269927040

Thus, we can understand that the LCM of 338,432,190,128,565 is 6269927040.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 945, 305, 415, 234, 862
• LCM of 939, 206, 516, 825, 734
• LCM of 266, 176, 730, 592, 122
• LCM of 752, 256, 553, 486, 762
• LCM of 797, 461, 929, 555, 414

1. What is the LCM of 338, 432, 190, 128, 565?

Answer: LCM of 338, 432, 190, 128, 565 is 6269927040.

2. How to calculate the LCM of 338, 432, 190, 128, 565?

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 338, 432, 190, 128, 565.

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}.