Given numbers are 978,364,553

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

The LCM of 978,364,553 is 14061684.

Find LCM of 978,364,553 with Prime Factorization

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

2 x 7 x 489 x 26 x 79 = 14061684

Therefore, the lowest common multiple of 978,364,553 is 14061684.

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.

978 x 364 x 553 = 196863576

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.

978 : 1, 2, 3, 6, 163, 326, 489, 978

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,364,553, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

364:2x 2x 7x 13

553:7x 79

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 196863576/(1x14)

LCM = 196863576/14

LCM = 14061684

Thus, we can understand that the LCM of 978,364,553 is 14061684.

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

• LCM of 594, 273, 820
• LCM of 518, 847, 914
• LCM of 735, 127, 647
• LCM of 200, 406, 258
• LCM of 642, 540, 720

1. What is the LCM of 978, 364, 553?

Answer: LCM of 978, 364, 553 is 14061684.

2. How to calculate the LCM of 978, 364, 553?

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 978, 364, 553.

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}.