Given numbers are 760,714,291,393,306

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

The LCM of 760,714,291,393,306 is 10342989720.

Find LCM of 760,714,291,393,306 with Prime Factorization

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

2 x 3 x 17 x 380 x 7 x 97 x 131 x 3 = 10342989720

Therefore, the lowest common multiple of 760,714,291,393,306 is 10342989720.

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.

760 x 714 x 291 x 393 x 306 = 18989729125920

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

291 : 1, 3, 97, 291

393 : 1, 3, 131, 393

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,714,291,393,306, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

714:2x 3x 7x 17

291:3x 97

393:3x 131

306:2x 3x 3x 17

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 3x 17 = 1836

Therefore, the value for common factors is 1836.

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 = 18989729125920/(1x1836)

LCM = 18989729125920/1836

LCM = 10342989720

Thus, we can understand that the LCM of 760,714,291,393,306 is 10342989720.

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

• LCM of 560, 220, 570, 738, 780
• LCM of 913, 844, 322, 225, 665
• LCM of 339, 530, 375, 776, 834
• LCM of 501, 664, 951, 906, 298
• LCM of 691, 176, 209, 438, 643

1. What is the LCM of 760, 714, 291, 393, 306?

Answer: LCM of 760, 714, 291, 393, 306 is 10342989720.

2. How to calculate the LCM of 760, 714, 291, 393, 306?

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 760, 714, 291, 393, 306.

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}.