Given numbers are 678,410,523,524

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

The LCM of 678,410,523,524 is 19045243740.

Find LCM of 678,410,523,524 with Prime Factorization

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

2 x 339 x 205 x 523 x 262 = 19045243740

Therefore, the lowest common multiple of 678,410,523,524 is 19045243740.

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.

678 x 410 x 523 x 524 = 76180974960

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.

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

523 : 1, 523

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,410,523,524, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

410:2x 5x 41

523:523

524:2x 2x 131

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 76180974960/(1x4)

LCM = 76180974960/4

LCM = 19045243740

Thus, we can understand that the LCM of 678,410,523,524 is 19045243740.

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

• LCM of 945, 143, 439, 879
• LCM of 801, 793, 362, 882
• LCM of 278, 586, 794, 207
• LCM of 602, 664, 310, 695
• LCM of 484, 357, 756, 883

1. What is the LCM of 678, 410, 523, 524?

Answer: LCM of 678, 410, 523, 524 is 19045243740.

2. How to calculate the LCM of 678, 410, 523, 524?

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 678, 410, 523, 524.

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}.