Given numbers are 978,407,106,741

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

The LCM of 978,407,106,741 is 5210820186.

Find LCM of 978,407,106,741 with Prime Factorization

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

2 x 3 x 163 x 407 x 53 x 247 = 5210820186

Therefore, the lowest common multiple of 978,407,106,741 is 5210820186.

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 407 x 106 x 741 = 31264921116

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

407 : 1, 11, 37, 407

106 : 1, 2, 53, 106

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,407,106,741, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

407:11x 37

106:2x 53

741:3x 13x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 31264921116/(1x6)

LCM = 31264921116/6

LCM = 5210820186

Thus, we can understand that the LCM of 978,407,106,741 is 5210820186.

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

• LCM of 981, 560, 928, 866
• LCM of 747, 720, 244, 271
• LCM of 874, 829, 141, 302
• LCM of 208, 196, 756, 874
• LCM of 109, 853, 156, 839

1. What is the LCM of 978, 407, 106, 741?

Answer: LCM of 978, 407, 106, 741 is 5210820186.

2. How to calculate the LCM of 978, 407, 106, 741?

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, 407, 106, 741.

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}.