Given numbers are 400,415,318,169

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

The LCM of 400,415,318,169 is 892117200.

Find LCM of 400,415,318,169 with Prime Factorization

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

2 x 5 x 40 x 83 x 159 x 169 = 892117200

Therefore, the lowest common multiple of 400,415,318,169 is 892117200.

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.

400 x 415 x 318 x 169 = 8921172000

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

415 : 1, 5, 83, 415

318 : 1, 2, 3, 6, 53, 106, 159, 318

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,415,318,169, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

415:5x 83

318:2x 3x 53

169:13x 13

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 8921172000/(1x10)

LCM = 8921172000/10

LCM = 892117200

Thus, we can understand that the LCM of 400,415,318,169 is 892117200.

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

• LCM of 747, 781, 938, 573
• LCM of 434, 442, 770, 785
• LCM of 466, 865, 750, 251
• LCM of 595, 507, 112, 830
• LCM of 919, 853, 842, 889

1. What is the LCM of 400, 415, 318, 169?

Answer: LCM of 400, 415, 318, 169 is 892117200.

2. How to calculate the LCM of 400, 415, 318, 169?

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 400, 415, 318, 169.

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}.