Given numbers are 748,685,644,276,260

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

The LCM of 748,685,644,276,260 is 3217234020.

Find LCM of 748,685,644,276,260 with Prime Factorization

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

2 x 2 x 5 x 23 x 187 x 137 x 7 x 3 x 13 = 3217234020

Therefore, the lowest common multiple of 748,685,644,276,260 is 3217234020.

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.

748 x 685 x 644 x 276 x 260 = 23678842387200

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

685 : 1, 5, 137, 685

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,685,644,276,260, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

685:5x 137

644:2x 2x 7x 23

276:2x 2x 3x 23

260:2x 2x 5x 13

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 2x 5x 23 = 7360

Therefore, the value for common factors is 7360.

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 = 23678842387200/(1x7360)

LCM = 23678842387200/7360

LCM = 3217234020

Thus, we can understand that the LCM of 748,685,644,276,260 is 3217234020.

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

• LCM of 923, 186, 984, 832, 902
• LCM of 768, 884, 705, 882, 435
• LCM of 712, 934, 178, 249, 383
• LCM of 456, 764, 269, 142, 886
• LCM of 525, 835, 139, 768, 901

1. What is the LCM of 748, 685, 644, 276, 260?

Answer: LCM of 748, 685, 644, 276, 260 is 3217234020.

2. How to calculate the LCM of 748, 685, 644, 276, 260?

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 748, 685, 644, 276, 260.

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}.