Given numbers are 428,480,952,319

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

The LCM of 428,480,952,319 is 1949676960.

Find LCM of 428,480,952,319 with Prime Factorization

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

2 x 2 x 2 x 107 x 60 x 119 x 319 = 1949676960

Therefore, the lowest common multiple of 428,480,952,319 is 1949676960.

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.

428 x 480 x 952 x 319 = 62389662720

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.

428 : 1, 2, 4, 107, 214, 428

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

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,480,952,319, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

480:2x 2x 2x 2x 2x 3x 5

952:2x 2x 2x 7x 17

319:11x 29

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 = 62389662720/(1x32)

LCM = 62389662720/32

LCM = 1949676960

Thus, we can understand that the LCM of 428,480,952,319 is 1949676960.

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

• LCM of 775, 353, 795, 915
• LCM of 367, 778, 291, 184
• LCM of 347, 696, 697, 926
• LCM of 995, 600, 797, 692
• LCM of 417, 523, 872, 893

1. What is the LCM of 428, 480, 952, 319?

Answer: LCM of 428, 480, 952, 319 is 1949676960.

2. How to calculate the LCM of 428, 480, 952, 319?

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 428, 480, 952, 319.

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}.