Given numbers are 680,749,119,872,460

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

The LCM of 680,749,119,872,460 is 1276865240.

Find LCM of 680,749,119,872,460 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 17 x 1 x 107 x 1 x 109 x 23 = 1276865240

Therefore, the lowest common multiple of 680,749,119,872,460 is 1276865240.

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.

680 x 749 x 119 x 872 x 460 = 24311514169600

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

749 : 1, 7, 107, 749

119 : 1, 7, 17, 119

872 : 1, 2, 4, 8, 109, 218, 436, 872

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,749,119,872,460, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

749:7x 107

119:7x 17

872:2x 2x 2x 109

460:2x 2x 5x 23

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 5x 7x 17 = 19040

Therefore, the value for common factors is 19040.

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 = 24311514169600/(1x19040)

LCM = 24311514169600/19040

LCM = 1276865240

Thus, we can understand that the LCM of 680,749,119,872,460 is 1276865240.

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

• LCM of 139, 395, 946, 763, 123
• LCM of 231, 718, 555, 255, 945
• LCM of 646, 520, 593, 550, 464
• LCM of 429, 324, 397, 836, 948
• LCM of 796, 848, 138, 994, 958

1. What is the LCM of 680, 749, 119, 872, 460?

Answer: LCM of 680, 749, 119, 872, 460 is 1276865240.

2. How to calculate the LCM of 680, 749, 119, 872, 460?

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 680, 749, 119, 872, 460.

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}.