Given numbers are 528,678,126,354

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

The LCM of 528,678,126,354 is 73923696.

Find LCM of 528,678,126,354 with Prime Factorization

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

2 x 3 x 88 x 113 x 21 x 59 = 73923696

Therefore, the lowest common multiple of 528,678,126,354 is 73923696.

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.

528 x 678 x 126 x 354 = 15967518336

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

678 : 1, 2, 3, 6, 113, 226, 339, 678

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

354 : 1, 2, 3, 6, 59, 118, 177, 354

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,678,126,354, is 6.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

678:2x 3x 113

126:2x 3x 3x 7

354:2x 3x 59

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 3 = 36

Therefore, the value for common factors is 36.

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 = 15967518336/(6x36)

LCM = 15967518336/216

LCM = 73923696

Thus, we can understand that the LCM of 528,678,126,354 is 73923696.

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

• LCM of 524, 899, 813, 911
• LCM of 147, 848, 404, 371
• LCM of 178, 446, 365, 218
• LCM of 912, 382, 673, 739
• LCM of 849, 691, 842, 568

1. What is the LCM of 528, 678, 126, 354?

Answer: LCM of 528, 678, 126, 354 is 73923696.

2. How to calculate the LCM of 528, 678, 126, 354?

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 528, 678, 126, 354.

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}.