Given numbers are 278,320,107,318

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

The LCM of 278,320,107,318 is 756738240.

Find LCM of 278,320,107,318 with Prime Factorization

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

2 x 139 x 160 x 107 x 159 = 756738240

Therefore, the lowest common multiple of 278,320,107,318 is 756738240.

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 320 x 107 x 318 = 3026952960

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

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

107 : 1, 107

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,320,107,318, is 1.

Now, the common factors can be found like this.

278:2x 139

320:2x 2x 2x 2x 2x 2x 5

107:107

318:2x 3x 53

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 = 3026952960/(1x4)

LCM = 3026952960/4

LCM = 756738240

Thus, we can understand that the LCM of 278,320,107,318 is 756738240.

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

• LCM of 142, 522, 797, 713
• LCM of 654, 685, 639, 772
• LCM of 929, 949, 979, 470
• LCM of 791, 390, 913, 811
• LCM of 116, 402, 624, 932

1. What is the LCM of 278, 320, 107, 318?

Answer: LCM of 278, 320, 107, 318 is 756738240.

2. How to calculate the LCM of 278, 320, 107, 318?

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, 320, 107, 318.

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}.