Given numbers are 756,723,980,156,290

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

The LCM of 756,723,980,156,290 is 2404076220.

Find LCM of 756,723,980,156,290 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 9 x 241 x 7 x 13 x 29 = 2404076220

Therefore, the lowest common multiple of 756,723,980,156,290 is 2404076220.

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.

756 x 723 x 980 x 156 x 290 = 24233088297600

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.

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

723 : 1, 3, 241, 723

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,723,980,156,290, is 1.

Now, the common factors can be found like this.

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

723:3x 241

980:2x 2x 5x 7x 7

156:2x 2x 3x 13

290:2x 5x 29

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 2x 2x 3x 3x 5x 7 = 10080

Therefore, the value for common factors is 10080.

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 = 24233088297600/(1x10080)

LCM = 24233088297600/10080

LCM = 2404076220

Thus, we can understand that the LCM of 756,723,980,156,290 is 2404076220.

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

• LCM of 978, 257, 169, 943, 818
• LCM of 355, 484, 982, 413, 647
• LCM of 786, 292, 456, 670, 923
• LCM of 799, 531, 732, 997, 852
• LCM of 264, 481, 662, 768, 491

1. What is the LCM of 756, 723, 980, 156, 290?

Answer: LCM of 756, 723, 980, 156, 290 is 2404076220.

2. How to calculate the LCM of 756, 723, 980, 156, 290?

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 756, 723, 980, 156, 290.

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}.