Given numbers are 260,749,269,514

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

The LCM of 260,749,269,514 is 13462960420.

Find LCM of 260,749,269,514 with Prime Factorization

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

2 x 130 x 749 x 269 x 257 = 13462960420

Therefore, the lowest common multiple of 260,749,269,514 is 13462960420.

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.

260 x 749 x 269 x 514 = 26925920840

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

749 : 1, 7, 107, 749

269 : 1, 269

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,749,269,514, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

749:7x 107

269:269

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 26925920840/(1x2)

LCM = 26925920840/2

LCM = 13462960420

Thus, we can understand that the LCM of 260,749,269,514 is 13462960420.

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

• LCM of 548, 889, 364, 195
• LCM of 528, 951, 612, 640
• LCM of 894, 719, 510, 545
• LCM of 663, 568, 451, 960
• LCM of 612, 302, 528, 908

1. What is the LCM of 260, 749, 269, 514?

Answer: LCM of 260, 749, 269, 514 is 13462960420.

2. How to calculate the LCM of 260, 749, 269, 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 260, 749, 269, 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}.