Given numbers are 235,741,420,210,402

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

The LCM of 235,741,420,210,402 is 326677260.

Find LCM of 235,741,420,210,402 with Prime Factorization

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

2 x 3 x 5 x 7 x 47 x 247 x 2 x 1 x 67 = 326677260

Therefore, the lowest common multiple of 235,741,420,210,402 is 326677260.

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 741 x 420 x 210 x 402 = 6174200214000

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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 235,741,420,210,402, is 1.

Now, the common factors can be found like this.

235:5x 47

741:3x 13x 19

420:2x 2x 3x 5x 7

210:2x 3x 5x 7

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 3x 3x 3x 5x 5x 7 = 18900

Therefore, the value for common factors is 18900.

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 = 6174200214000/(1x18900)

LCM = 6174200214000/18900

LCM = 326677260

Thus, we can understand that the LCM of 235,741,420,210,402 is 326677260.

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

• LCM of 501, 645, 951, 213, 942
• LCM of 883, 564, 784, 592, 756
• LCM of 549, 768, 498, 357, 230
• LCM of 791, 378, 114, 740, 236
• LCM of 951, 797, 853, 991, 918

1. What is the LCM of 235, 741, 420, 210, 402?

Answer: LCM of 235, 741, 420, 210, 402 is 326677260.

2. How to calculate the LCM of 235, 741, 420, 210, 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 235, 741, 420, 210, 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}.