Given numbers are 752,208,497,611,897

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

The LCM of 752,208,497,611,897 is 335248368.

Find LCM of 752,208,497,611,897 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 47 x 1 x 1 x 497 x 1 x 69 = 335248368

Therefore, the lowest common multiple of 752,208,497,611,897 is 335248368.

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.

752 x 208 x 497 x 611 x 897 = 42606044592384

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

497 : 1, 7, 71, 497

611 : 1, 13, 47, 611

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,208,497,611,897, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

208:2x 2x 2x 2x 13

497:7x 71

611:13x 47

897:3x 13x 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 13x 13x 47 = 127088

Therefore, the value for common factors is 127088.

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 = 42606044592384/(1x127088)

LCM = 42606044592384/127088

LCM = 335248368

Thus, we can understand that the LCM of 752,208,497,611,897 is 335248368.

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

• LCM of 948, 754, 924, 467, 209
• LCM of 177, 296, 304, 186, 478
• LCM of 352, 538, 138, 232, 635
• LCM of 120, 719, 368, 996, 218
• LCM of 156, 249, 576, 894, 465

1. What is the LCM of 752, 208, 497, 611, 897?

Answer: LCM of 752, 208, 497, 611, 897 is 335248368.

2. How to calculate the LCM of 752, 208, 497, 611, 897?

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 752, 208, 497, 611, 897.

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}.