Given numbers are 678,889,345,438,792

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

The LCM of 678,889,345,438,792 is 667922519880.

Find LCM of 678,889,345,438,792 with Prime Factorization

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

2 x 3 x 113 x 889 x 115 x 73 x 132 = 667922519880

Therefore, the lowest common multiple of 678,889,345,438,792 is 667922519880.

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 889 x 345 x 438 x 792 = 72135632147040

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

889 : 1, 7, 127, 889

345 : 1, 3, 5, 15, 23, 69, 115, 345

438 : 1, 2, 3, 6, 73, 146, 219, 438

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,889,345,438,792, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

889:7x 127

345:3x 5x 23

438:2x 3x 73

792:2x 2x 2x 3x 3x 11

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 72135632147040/(1x108)

LCM = 72135632147040/108

LCM = 667922519880

Thus, we can understand that the LCM of 678,889,345,438,792 is 667922519880.

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

• LCM of 477, 595, 150, 401, 599
• LCM of 296, 216, 868, 346, 416
• LCM of 906, 224, 232, 547, 716
• LCM of 374, 406, 542, 185, 292
• LCM of 540, 247, 706, 554, 520

1. What is the LCM of 678, 889, 345, 438, 792?

Answer: LCM of 678, 889, 345, 438, 792 is 667922519880.

2. How to calculate the LCM of 678, 889, 345, 438, 792?

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, 889, 345, 438, 792.

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}.