Given numbers are 409,224,971,578

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

The LCM of 409,224,971,578 is 25709190304.

Find LCM of 409,224,971,578 with Prime Factorization

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

2 x 409 x 112 x 971 x 289 = 25709190304

Therefore, the lowest common multiple of 409,224,971,578 is 25709190304.

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.

409 x 224 x 971 x 578 = 51418380608

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.

409 : 1, 409

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

971 : 1, 971

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,224,971,578, is 1.

Now, the common factors can be found like this.

409:409

224:2x 2x 2x 2x 2x 7

971:971

578:2x 17x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 51418380608/(1x2)

LCM = 51418380608/2

LCM = 25709190304

Thus, we can understand that the LCM of 409,224,971,578 is 25709190304.

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

• LCM of 305, 676, 142, 892
• LCM of 833, 549, 875, 467
• LCM of 866, 759, 627, 342
• LCM of 380, 640, 531, 137
• LCM of 395, 191, 224, 695

1. What is the LCM of 409, 224, 971, 578?

Answer: LCM of 409, 224, 971, 578 is 25709190304.

2. How to calculate the LCM of 409, 224, 971, 578?

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 409, 224, 971, 578.

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}.