Given numbers are 974,346,129,320,363

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

The LCM of 974,346,129,320,363 is 420823634880.

Find LCM of 974,346,129,320,363 with Prime Factorization

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

2 x 3 x 487 x 173 x 43 x 160 x 121 = 420823634880

Therefore, the lowest common multiple of 974,346,129,320,363 is 420823634880.

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.

974 x 346 x 129 x 320 x 363 = 5049883618560

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.

974 : 1, 2, 487, 974

346 : 1, 2, 173, 346

129 : 1, 3, 43, 129

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,346,129,320,363, is 1.

Now, the common factors can be found like this.

974:2x 487

346:2x 173

129:3x 43

320:2x 2x 2x 2x 2x 2x 5

363:3x 11x 11

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 3 = 12

Therefore, the value for common factors is 12.

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 = 5049883618560/(1x12)

LCM = 5049883618560/12

LCM = 420823634880

Thus, we can understand that the LCM of 974,346,129,320,363 is 420823634880.

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

• LCM of 893, 713, 815, 126, 320
• LCM of 302, 340, 454, 280, 538
• LCM of 644, 501, 798, 762, 904
• LCM of 333, 972, 357, 896, 931
• LCM of 230, 928, 300, 290, 783

1. What is the LCM of 974, 346, 129, 320, 363?

Answer: LCM of 974, 346, 129, 320, 363 is 420823634880.

2. How to calculate the LCM of 974, 346, 129, 320, 363?

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 974, 346, 129, 320, 363.

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}.