Given numbers are 278,241,861,562,998

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

The LCM of 278,241,861,562,998 is 8088571995882.

Find LCM of 278,241,861,562,998 with Prime Factorization

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

2 x 139 x 241 x 861 x 281 x 499 = 8088571995882

Therefore, the lowest common multiple of 278,241,861,562,998 is 8088571995882.

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 241 x 861 x 562 x 998 = 32354287983528

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

241 : 1, 241

861 : 1, 3, 7, 21, 41, 123, 287, 861

562 : 1, 2, 281, 562

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,241,861,562,998, is 1.

Now, the common factors can be found like this.

278:2x 139

241:241

861:3x 7x 41

562:2x 281

998:2x 499

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 = 32354287983528/(1x4)

LCM = 32354287983528/4

LCM = 8088571995882

Thus, we can understand that the LCM of 278,241,861,562,998 is 8088571995882.

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

• LCM of 529, 906, 691, 624, 761
• LCM of 440, 949, 484, 288, 100
• LCM of 601, 269, 928, 506, 464
• LCM of 297, 563, 718, 232, 323
• LCM of 724, 710, 533, 196, 138

1. What is the LCM of 278, 241, 861, 562, 998?

Answer: LCM of 278, 241, 861, 562, 998 is 8088571995882.

2. How to calculate the LCM of 278, 241, 861, 562, 998?

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, 241, 861, 562, 998.

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}.