Given numbers are 343,402,501,146

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

The LCM of 343,402,501,146 is 1680968226.

Find LCM of 343,402,501,146 with Prime Factorization

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

2 x 3 x 343 x 67 x 167 x 73 = 1680968226

Therefore, the lowest common multiple of 343,402,501,146 is 1680968226.

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.

343 x 402 x 501 x 146 = 10085809356

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.

343 : 1, 7, 49, 343

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

501 : 1, 3, 167, 501

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,402,501,146, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

402:2x 3x 67

501:3x 167

146:2x 73

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 10085809356/(1x6)

LCM = 10085809356/6

LCM = 1680968226

Thus, we can understand that the LCM of 343,402,501,146 is 1680968226.

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

• LCM of 672, 464, 483, 993
• LCM of 749, 234, 218, 457
• LCM of 569, 399, 298, 530
• LCM of 888, 238, 773, 268
• LCM of 536, 180, 597, 784

1. What is the LCM of 343, 402, 501, 146?

Answer: LCM of 343, 402, 501, 146 is 1680968226.

2. How to calculate the LCM of 343, 402, 501, 146?

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 343, 402, 501, 146.

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}.