Given numbers are 698,554,756,372,138

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

The LCM of 698,554,756,372,138 is 52109453844.

Find LCM of 698,554,756,372,138 with Prime Factorization

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

2 x 2 x 3 x 349 x 277 x 63 x 31 x 23 = 52109453844

Therefore, the lowest common multiple of 698,554,756,372,138 is 52109453844.

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.

698 x 554 x 756 x 372 x 138 = 15007522707072

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.

698 : 1, 2, 349, 698

554 : 1, 2, 277, 554

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,554,756,372,138, is 2.

Now, the common factors can be found like this.

698:2x 349

554:2x 277

756:2x 2x 3x 3x 3x 7

372:2x 2x 3x 31

138:2x 3x 23

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 15007522707072/(2x144)

LCM = 15007522707072/288

LCM = 52109453844

Thus, we can understand that the LCM of 698,554,756,372,138 is 52109453844.

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

• LCM of 370, 967, 958, 836, 421
• LCM of 785, 782, 570, 374, 570
• LCM of 893, 704, 560, 458, 975
• LCM of 863, 434, 827, 261, 599
• LCM of 605, 198, 743, 884, 948

1. What is the LCM of 698, 554, 756, 372, 138?

Answer: LCM of 698, 554, 756, 372, 138 is 52109453844.

2. How to calculate the LCM of 698, 554, 756, 372, 138?

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 698, 554, 756, 372, 138.

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}.