Given numbers are 724,779,394,978

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

The LCM of 724,779,394,978 is 54331426668.

Find LCM of 724,779,394,978 with Prime Factorization

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

2 x 362 x 779 x 197 x 489 = 54331426668

Therefore, the lowest common multiple of 724,779,394,978 is 54331426668.

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.

724 x 779 x 394 x 978 = 217325706672

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.

724 : 1, 2, 4, 181, 362, 724

779 : 1, 19, 41, 779

394 : 1, 2, 197, 394

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,779,394,978, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

779:19x 41

394:2x 197

978:2x 3x 163

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 = 217325706672/(1x4)

LCM = 217325706672/4

LCM = 54331426668

Thus, we can understand that the LCM of 724,779,394,978 is 54331426668.

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

• LCM of 279, 506, 655, 586
• LCM of 513, 226, 617, 301
• LCM of 776, 362, 770, 444
• LCM of 262, 951, 617, 874
• LCM of 479, 901, 401, 147

1. What is the LCM of 724, 779, 394, 978?

Answer: LCM of 724, 779, 394, 978 is 54331426668.

2. How to calculate the LCM of 724, 779, 394, 978?

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 724, 779, 394, 978.

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}.