Given numbers are 748,169,351,616,402

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

The LCM of 748,169,351,616,402 is 3201510312.

Find LCM of 748,169,351,616,402 with Prime Factorization

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

2 x 2 x 3 x 11 x 13 x 17 x 13 x 9 x 14 x 67 = 3201510312

Therefore, the lowest common multiple of 748,169,351,616,402 is 3201510312.

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 169 x 351 x 616 x 402 = 10987583390784

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

169 : 1, 13, 169

351 : 1, 3, 9, 13, 27, 39, 117, 351

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,169,351,616,402, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

169:13x 13

351:3x 3x 3x 13

616:2x 2x 2x 7x 11

402:2x 3x 67

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 3x 11x 13 = 3432

Therefore, the value for common factors is 3432.

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 = 10987583390784/(1x3432)

LCM = 10987583390784/3432

LCM = 3201510312

Thus, we can understand that the LCM of 748,169,351,616,402 is 3201510312.

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

• LCM of 823, 838, 350, 505, 849
• LCM of 184, 455, 335, 788, 290
• LCM of 781, 613, 731, 798, 401
• LCM of 130, 994, 767, 238, 618
• LCM of 655, 213, 315, 152, 553

1. What is the LCM of 748, 169, 351, 616, 402?

Answer: LCM of 748, 169, 351, 616, 402 is 3201510312.

2. How to calculate the LCM of 748, 169, 351, 616, 402?

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, 169, 351, 616, 402.

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}.