Given numbers are 235,128,470,979

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

The LCM of 235,128,470,979 is 29448320.

Find LCM of 235,128,470,979 with Prime Factorization

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

2 x 5 x 47 x 1 x 64 x 1 x 979 = 29448320

Therefore, the lowest common multiple of 235,128,470,979 is 29448320.

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.

235 x 128 x 470 x 979 = 13840710400

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.

235 : 1, 5, 47, 235

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,128,470,979, is 1.

Now, the common factors can be found like this.

235:5x 47

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

470:2x 5x 47

979:11x 89

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

2x 5x 47 = 470

Therefore, the value for common factors is 470.

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 = 13840710400/(1x470)

LCM = 13840710400/470

LCM = 29448320

Thus, we can understand that the LCM of 235,128,470,979 is 29448320.

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

• LCM of 222, 211, 661, 780
• LCM of 592, 943, 432, 400
• LCM of 357, 592, 317, 353
• LCM of 483, 885, 355, 823
• LCM of 913, 608, 605, 621

1. What is the LCM of 235, 128, 470, 979?

Answer: LCM of 235, 128, 470, 979 is 29448320.

2. How to calculate the LCM of 235, 128, 470, 979?

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 235, 128, 470, 979.

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}.