Given numbers are 506,209,845,119

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

The LCM of 506,209,845,119 is 966735770.

Find LCM of 506,209,845,119 with Prime Factorization

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

11 x 46 x 19 x 845 x 119 = 966735770

Therefore, the lowest common multiple of 506,209,845,119 is 966735770.

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.

506 x 209 x 845 x 119 = 10634093470

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

209 : 1, 11, 19, 209

845 : 1, 5, 13, 65, 169, 845

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,209,845,119, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

209:11x 19

845:5x 13x 13

119:7x 17

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

11 = 11

Therefore, the value for common factors is 11.

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 = 10634093470/(1x11)

LCM = 10634093470/11

LCM = 966735770

Thus, we can understand that the LCM of 506,209,845,119 is 966735770.

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

• LCM of 229, 724, 644, 780
• LCM of 866, 462, 738, 779
• LCM of 422, 350, 479, 550
• LCM of 868, 821, 656, 148
• LCM of 776, 334, 208, 175

1. What is the LCM of 506, 209, 845, 119?

Answer: LCM of 506, 209, 845, 119 is 966735770.

2. How to calculate the LCM of 506, 209, 845, 119?

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 506, 209, 845, 119.

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}.