Given numbers are 278,674,942,694,430

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

The LCM of 278,674,942,694,430 is 3292028138130.

Find LCM of 278,674,942,694,430 with Prime Factorization

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

2 x 139 x 337 x 471 x 347 x 215 = 3292028138130

Therefore, the lowest common multiple of 278,674,942,694,430 is 3292028138130.

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.

278 x 674 x 942 x 694 x 430 = 52672450210080

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.

278 : 1, 2, 139, 278

674 : 1, 2, 337, 674

942 : 1, 2, 3, 6, 157, 314, 471, 942

694 : 1, 2, 347, 694

430 : 1, 2, 5, 10, 43, 86, 215, 430

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,674,942,694,430, is 2.

Now, the common factors can be found like this.

278:2x 139

674:2x 337

942:2x 3x 157

694:2x 347

430:2x 5x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 52672450210080/(2x8)

LCM = 52672450210080/16

LCM = 3292028138130

Thus, we can understand that the LCM of 278,674,942,694,430 is 3292028138130.

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

• LCM of 647, 361, 957, 172, 323
• LCM of 795, 957, 374, 204, 921
• LCM of 327, 421, 406, 611, 676
• LCM of 421, 630, 432, 319, 344
• LCM of 213, 110, 807, 885, 275

1. What is the LCM of 278, 674, 942, 694, 430?

Answer: LCM of 278, 674, 942, 694, 430 is 3292028138130.

2. How to calculate the LCM of 278, 674, 942, 694, 430?

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 278, 674, 942, 694, 430.

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}.