Given numbers are 976,322,381,828,428

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

The LCM of 976,322,381,828,428 is 19217889936.

Find LCM of 976,322,381,828,428 with Prime Factorization

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

2 x 2 x 3 x 23 x 244 x 7 x 127 x 3 x 107 = 19217889936

Therefore, the lowest common multiple of 976,322,381,828,428 is 19217889936.

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.

976 x 322 x 381 x 828 x 428 = 42433100978688

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.

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

322 : 1, 2, 7, 14, 23, 46, 161, 322

381 : 1, 3, 127, 381

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,322,381,828,428, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

322:2x 7x 23

381:3x 127

828:2x 2x 3x 3x 23

428:2x 2x 107

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 2x 2x 3x 23 = 2208

Therefore, the value for common factors is 2208.

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 = 42433100978688/(1x2208)

LCM = 42433100978688/2208

LCM = 19217889936

Thus, we can understand that the LCM of 976,322,381,828,428 is 19217889936.

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

• LCM of 569, 500, 144, 374, 899
• LCM of 134, 380, 499, 328, 501
• LCM of 716, 586, 925, 227, 397
• LCM of 509, 277, 966, 958, 597
• LCM of 679, 344, 841, 856, 824

1. What is the LCM of 976, 322, 381, 828, 428?

Answer: LCM of 976, 322, 381, 828, 428 is 19217889936.

2. How to calculate the LCM of 976, 322, 381, 828, 428?

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 976, 322, 381, 828, 428.

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}.