Given numbers are 760,678,746,257

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

The LCM of 760,678,746,257 is 24697628040.

Find LCM of 760,678,746,257 with Prime Factorization

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

2 x 380 x 339 x 373 x 257 = 24697628040

Therefore, the lowest common multiple of 760,678,746,257 is 24697628040.

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.

760 x 678 x 746 x 257 = 98790512160

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

678 : 1, 2, 3, 6, 113, 226, 339, 678

746 : 1, 2, 373, 746

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,678,746,257, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

678:2x 3x 113

746:2x 373

257:257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 98790512160/(1x4)

LCM = 98790512160/4

LCM = 24697628040

Thus, we can understand that the LCM of 760,678,746,257 is 24697628040.

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

• LCM of 719, 614, 764, 203
• LCM of 477, 715, 665, 265
• LCM of 241, 405, 851, 217
• LCM of 703, 198, 199, 606
• LCM of 594, 208, 413, 540

1. What is the LCM of 760, 678, 746, 257?

Answer: LCM of 760, 678, 746, 257 is 24697628040.

2. How to calculate the LCM of 760, 678, 746, 257?

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 760, 678, 746, 257.

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}.