Given numbers are 760,407,106,278

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

The LCM of 760,407,106,278 is 2278760440.

Find LCM of 760,407,106,278 with Prime Factorization

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

2 x 380 x 407 x 53 x 139 = 2278760440

Therefore, the lowest common multiple of 760,407,106,278 is 2278760440.

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.

760 x 407 x 106 x 278 = 9115041760

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

407 : 1, 11, 37, 407

106 : 1, 2, 53, 106

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,407,106,278, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

407:11x 37

106:2x 53

278:2x 139

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 = 9115041760/(1x4)

LCM = 9115041760/4

LCM = 2278760440

Thus, we can understand that the LCM of 760,407,106,278 is 2278760440.

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

• LCM of 613, 779, 225, 540
• LCM of 104, 224, 830, 814
• LCM of 925, 597, 941, 464
• LCM of 880, 197, 121, 362
• LCM of 911, 341, 821, 501

1. What is the LCM of 760, 407, 106, 278?

Answer: LCM of 760, 407, 106, 278 is 2278760440.

2. How to calculate the LCM of 760, 407, 106, 278?

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 760, 407, 106, 278.

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}.