Given numbers are 966,540,292,618

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

The LCM of 966,540,292,618 is 653701860.

Find LCM of 966,540,292,618 with Prime Factorization

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

2 x 2 x 3 x 161 x 45 x 73 x 103 = 653701860

Therefore, the lowest common multiple of 966,540,292,618 is 653701860.

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.

966 x 540 x 292 x 618 = 94133067840

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

292 : 1, 2, 4, 73, 146, 292

618 : 1, 2, 3, 6, 103, 206, 309, 618

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,540,292,618, is 2.

Now, the common factors can be found like this.

966:2x 3x 7x 23

540:2x 2x 3x 3x 3x 5

292:2x 2x 73

618:2x 3x 103

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

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 94133067840/(2x72)

LCM = 94133067840/144

LCM = 653701860

Thus, we can understand that the LCM of 966,540,292,618 is 653701860.

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

• LCM of 619, 162, 998, 671
• LCM of 456, 139, 678, 788
• LCM of 655, 529, 903, 858
• LCM of 922, 139, 242, 807
• LCM of 498, 846, 453, 384

1. What is the LCM of 966, 540, 292, 618?

Answer: LCM of 966, 540, 292, 618 is 653701860.

2. How to calculate the LCM of 966, 540, 292, 618?

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 966, 540, 292, 618.

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}.