Given numbers are 278,131,973,303,261

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

The LCM of 278,131,973,303,261 is 6720104286.

Find LCM of 278,131,973,303,261 with Prime Factorization

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

3 x 139 x 2 x 131 x 7 x 101 x 87 = 6720104286

Therefore, the lowest common multiple of 278,131,973,303,261 is 6720104286.

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 131 x 973 x 303 x 261 = 2802283487262

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

131 : 1, 131

973 : 1, 7, 139, 973

303 : 1, 3, 101, 303

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,131,973,303,261, is 1.

Now, the common factors can be found like this.

278:2x 139

131:131

973:7x 139

303:3x 101

261:3x 3x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 139 = 417

Therefore, the value for common factors is 417.

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 = 2802283487262/(1x417)

LCM = 2802283487262/417

LCM = 6720104286

Thus, we can understand that the LCM of 278,131,973,303,261 is 6720104286.

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

• LCM of 193, 934, 803, 832, 486
• LCM of 510, 601, 750, 968, 287
• LCM of 905, 349, 369, 582, 684
• LCM of 514, 846, 557, 983, 288
• LCM of 554, 959, 321, 111, 212

1. What is the LCM of 278, 131, 973, 303, 261?

Answer: LCM of 278, 131, 973, 303, 261 is 6720104286.

2. How to calculate the LCM of 278, 131, 973, 303, 261?

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, 131, 973, 303, 261.

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}.