Given numbers are 429,966,290,506,402

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

The LCM of 429,966,290,506,402 is 1342010670.

Find LCM of 429,966,290,506,402 with Prime Factorization

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

2 x 3 x 11 x 23 x 13 x 7 x 145 x 1 x 67 = 1342010670

Therefore, the lowest common multiple of 429,966,290,506,402 is 1342010670.

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.

429 x 966 x 290 x 506 x 402 = 24446066364720

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

290 : 1, 2, 5, 10, 29, 58, 145, 290

506 : 1, 2, 11, 22, 23, 46, 253, 506

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,966,290,506,402, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

966:2x 3x 7x 23

290:2x 5x 29

506:2x 11x 23

402:2x 3x 67

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 3x 3x 11x 23 = 18216

Therefore, the value for common factors is 18216.

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 = 24446066364720/(1x18216)

LCM = 24446066364720/18216

LCM = 1342010670

Thus, we can understand that the LCM of 429,966,290,506,402 is 1342010670.

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

• LCM of 793, 749, 145, 884, 687
• LCM of 391, 245, 883, 934, 952
• LCM of 495, 234, 396, 930, 909
• LCM of 394, 362, 443, 117, 211
• LCM of 767, 349, 581, 845, 472

1. What is the LCM of 429, 966, 290, 506, 402?

Answer: LCM of 429, 966, 290, 506, 402 is 1342010670.

2. How to calculate the LCM of 429, 966, 290, 506, 402?

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 429, 966, 290, 506, 402.

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}.