Given numbers are 757,514,314,343,981

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

The LCM of 757,514,314,343,981 is 20555203386438.

Find LCM of 757,514,314,343,981 with Prime Factorization

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

2 x 757 x 257 x 157 x 343 x 981 = 20555203386438

Therefore, the lowest common multiple of 757,514,314,343,981 is 20555203386438.

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.

757 x 514 x 314 x 343 x 981 = 41110406772876

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.

757 : 1, 757

514 : 1, 2, 257, 514

314 : 1, 2, 157, 314

343 : 1, 7, 49, 343

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,514,314,343,981, is 1.

Now, the common factors can be found like this.

757:757

514:2x 257

314:2x 157

343:7x 7x 7

981:3x 3x 109

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 = 41110406772876/(1x2)

LCM = 41110406772876/2

LCM = 20555203386438

Thus, we can understand that the LCM of 757,514,314,343,981 is 20555203386438.

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

• LCM of 739, 691, 287, 905, 846
• LCM of 293, 549, 933, 586, 903
• LCM of 264, 334, 299, 321, 773
• LCM of 144, 529, 189, 476, 983
• LCM of 932, 171, 983, 155, 602

1. What is the LCM of 757, 514, 314, 343, 981?

Answer: LCM of 757, 514, 314, 343, 981 is 20555203386438.

2. How to calculate the LCM of 757, 514, 314, 343, 981?

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 757, 514, 314, 343, 981.

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}.