Given numbers are 960,110,739,146

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

The LCM of 960,110,739,146 is 569680320.

Find LCM of 960,110,739,146 with Prime Factorization

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

2 x 5 x 96 x 11 x 739 x 73 = 569680320

Therefore, the lowest common multiple of 960,110,739,146 is 569680320.

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.

960 x 110 x 739 x 146 = 11393606400

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

110 : 1, 2, 5, 10, 11, 22, 55, 110

739 : 1, 739

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,110,739,146, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

110:2x 5x 11

739:739

146:2x 73

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 5 = 20

Therefore, the value for common factors is 20.

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 = 11393606400/(1x20)

LCM = 11393606400/20

LCM = 569680320

Thus, we can understand that the LCM of 960,110,739,146 is 569680320.

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

• LCM of 784, 892, 732, 589
• LCM of 904, 791, 244, 388
• LCM of 778, 843, 270, 588
• LCM of 733, 300, 796, 809
• LCM of 884, 661, 262, 656

1. What is the LCM of 960, 110, 739, 146?

Answer: LCM of 960, 110, 739, 146 is 569680320.

2. How to calculate the LCM of 960, 110, 739, 146?

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 960, 110, 739, 146.

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}.