Given numbers are 760,278,209,514

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

The LCM of 760,278,209,514 is 298644280.

Find LCM of 760,278,209,514 with Prime Factorization

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

2 x 19 x 20 x 139 x 11 x 257 = 298644280

Therefore, the lowest common multiple of 760,278,209,514 is 298644280.

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 278 x 209 x 514 = 22696965280

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

278 : 1, 2, 139, 278

209 : 1, 11, 19, 209

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,278,209,514, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

278:2x 139

209:11x 19

514:2x 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 2x 19 = 76

Therefore, the value for common factors is 76.

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 = 22696965280/(1x76)

LCM = 22696965280/76

LCM = 298644280

Thus, we can understand that the LCM of 760,278,209,514 is 298644280.

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

• LCM of 857, 852, 952, 872
• LCM of 578, 574, 819, 855
• LCM of 714, 338, 420, 173
• LCM of 262, 500, 938, 175
• LCM of 400, 103, 383, 675

1. What is the LCM of 760, 278, 209, 514?

Answer: LCM of 760, 278, 209, 514 is 298644280.

2. How to calculate the LCM of 760, 278, 209, 514?

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, 278, 209, 514.

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}.