Given numbers are 748,203,728,196,718

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

The LCM of 748,203,728,196,718 is 9921183272.

Find LCM of 748,203,728,196,718 with Prime Factorization

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

2 x 2 x 7 x 187 x 29 x 26 x 7 x 359 = 9921183272

Therefore, the lowest common multiple of 748,203,728,196,718 is 9921183272.

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 203 x 728 x 196 x 718 = 15556415370496

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

203 : 1, 7, 29, 203

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,203,728,196,718, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

203:7x 29

728:2x 2x 2x 7x 13

196:2x 2x 7x 7

718:2x 359

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 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 15556415370496/(1x1568)

LCM = 15556415370496/1568

LCM = 9921183272

Thus, we can understand that the LCM of 748,203,728,196,718 is 9921183272.

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

• LCM of 254, 895, 601, 483, 156
• LCM of 113, 312, 287, 267, 248
• LCM of 587, 488, 955, 565, 830
• LCM of 918, 221, 813, 766, 980
• LCM of 351, 766, 788, 606, 947

1. What is the LCM of 748, 203, 728, 196, 718?

Answer: LCM of 748, 203, 728, 196, 718 is 9921183272.

2. How to calculate the LCM of 748, 203, 728, 196, 718?

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, 203, 728, 196, 718.

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}.