Given numbers are 279,692,121,407

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

The LCM of 279,692,121,407 is 864365436.

Find LCM of 279,692,121,407 with Prime Factorization

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

11 x 279 x 692 x 11 x 37 = 864365436

Therefore, the lowest common multiple of 279,692,121,407 is 864365436.

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.

279 x 692 x 121 x 407 = 9508019796

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.

279 : 1, 3, 9, 31, 93, 279

692 : 1, 2, 4, 173, 346, 692

121 : 1, 11, 121

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,692,121,407, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

692:2x 2x 173

121:11x 11

407:11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 9508019796/(1x11)

LCM = 9508019796/11

LCM = 864365436

Thus, we can understand that the LCM of 279,692,121,407 is 864365436.

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

• LCM of 468, 802, 976, 673
• LCM of 350, 334, 543, 824
• LCM of 635, 648, 379, 991
• LCM of 348, 852, 196, 123
• LCM of 949, 794, 461, 256

1. What is the LCM of 279, 692, 121, 407?

Answer: LCM of 279, 692, 121, 407 is 864365436.

2. How to calculate the LCM of 279, 692, 121, 407?

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 279, 692, 121, 407.

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}.