Given numbers are 119,584,291,123,756

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

The LCM of 119,584,291,123,756 is 7462410984.

Find LCM of 119,584,291,123,756 with Prime Factorization

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

2 x 2 x 3 x 7 x 17 x 146 x 97 x 41 x 9 = 7462410984

Therefore, the lowest common multiple of 119,584,291,123,756 is 7462410984.

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.

119 x 584 x 291 x 123 x 756 = 1880527567968

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.

119 : 1, 7, 17, 119

584 : 1, 2, 4, 8, 73, 146, 292, 584

291 : 1, 3, 97, 291

123 : 1, 3, 41, 123

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,584,291,123,756, is 1.

Now, the common factors can be found like this.

119:7x 17

584:2x 2x 2x 73

291:3x 97

123:3x 41

756:2x 2x 3x 3x 3x 7

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 1880527567968/(1x252)

LCM = 1880527567968/252

LCM = 7462410984

Thus, we can understand that the LCM of 119,584,291,123,756 is 7462410984.

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

• LCM of 700, 993, 748, 902, 829
• LCM of 428, 932, 273, 872, 757
• LCM of 268, 978, 491, 601, 165
• LCM of 901, 706, 348, 298, 806
• LCM of 659, 406, 202, 435, 571

1. What is the LCM of 119, 584, 291, 123, 756?

Answer: LCM of 119, 584, 291, 123, 756 is 7462410984.

2. How to calculate the LCM of 119, 584, 291, 123, 756?

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 119, 584, 291, 123, 756.

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}.