Given numbers are 756,319,508,475

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

The LCM of 756,319,508,475 is 14548218300.

Find LCM of 756,319,508,475 with Prime Factorization

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

2 x 2 x 189 x 319 x 127 x 475 = 14548218300

Therefore, the lowest common multiple of 756,319,508,475 is 14548218300.

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.

756 x 319 x 508 x 475 = 58192873200

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

319 : 1, 11, 29, 319

508 : 1, 2, 4, 127, 254, 508

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,319,508,475, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

319:11x 29

508:2x 2x 127

475:5x 5x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 58192873200/(1x4)

LCM = 58192873200/4

LCM = 14548218300

Thus, we can understand that the LCM of 756,319,508,475 is 14548218300.

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

• LCM of 568, 611, 576, 271
• LCM of 593, 381, 573, 956
• LCM of 307, 986, 586, 261
• LCM of 262, 196, 858, 644
• LCM of 262, 430, 390, 256

1. What is the LCM of 756, 319, 508, 475?

Answer: LCM of 756, 319, 508, 475 is 14548218300.

2. How to calculate the LCM of 756, 319, 508, 475?

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 756, 319, 508, 475.

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}.