Given numbers are 978,469,468,735

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

The LCM of 978,469,468,735 is 1252201860.

Find LCM of 978,469,468,735 with Prime Factorization

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

2 x 3 x 7 x 163 x 67 x 78 x 35 = 1252201860

Therefore, the lowest common multiple of 978,469,468,735 is 1252201860.

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 469 x 468 x 735 = 157777434360

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

469 : 1, 7, 67, 469

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,469,468,735, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

469:7x 67

468:2x 2x 3x 3x 13

735:3x 5x 7x 7

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

2x 3x 3x 7 = 126

Therefore, the value for common factors is 126.

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 = 157777434360/(1x126)

LCM = 157777434360/126

LCM = 1252201860

Thus, we can understand that the LCM of 978,469,468,735 is 1252201860.

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

• LCM of 504, 870, 735, 374
• LCM of 732, 525, 851, 794
• LCM of 950, 430, 980, 611
• LCM of 601, 952, 459, 992
• LCM of 573, 525, 495, 152

1. What is the LCM of 978, 469, 468, 735?

Answer: LCM of 978, 469, 468, 735 is 1252201860.

2. How to calculate the LCM of 978, 469, 468, 735?

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, 469, 468, 735.

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}.