Given numbers are 279,121,846,360,603

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

The LCM of 279,121,846,360,603 is 4252283640.

Find LCM of 279,121,846,360,603 with Prime Factorization

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

2 x 3 x 3 x 31 x 121 x 47 x 20 x 67 = 4252283640

Therefore, the lowest common multiple of 279,121,846,360,603 is 4252283640.

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 121 x 846 x 360 x 603 = 6199829547120

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

121 : 1, 11, 121

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

603 : 1, 3, 9, 67, 201, 603

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,121,846,360,603, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

121:11x 11

846:2x 3x 3x 47

360:2x 2x 2x 3x 3x 5

603:3x 3x 67

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

2x 3x 3x 3x 3x 3x 3 = 1458

Therefore, the value for common factors is 1458.

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 = 6199829547120/(1x1458)

LCM = 6199829547120/1458

LCM = 4252283640

Thus, we can understand that the LCM of 279,121,846,360,603 is 4252283640.

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

• LCM of 185, 215, 516, 603, 399
• LCM of 312, 540, 202, 972, 698
• LCM of 231, 500, 408, 902, 550
• LCM of 757, 534, 969, 825, 596
• LCM of 441, 183, 989, 968, 615

1. What is the LCM of 279, 121, 846, 360, 603?

Answer: LCM of 279, 121, 846, 360, 603 is 4252283640.

2. How to calculate the LCM of 279, 121, 846, 360, 603?

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, 121, 846, 360, 603.

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}.