Given numbers are 292,318,360,293

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

The LCM of 292,318,360,293 is 408102120.

Find LCM of 292,318,360,293 with Prime Factorization

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

2 x 2 x 3 x 73 x 53 x 30 x 293 = 408102120

Therefore, the lowest common multiple of 292,318,360,293 is 408102120.

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.

292 x 318 x 360 x 293 = 9794450880

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.

292 : 1, 2, 4, 73, 146, 292

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

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

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,318,360,293, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

318:2x 3x 53

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

293:293

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 9794450880/(1x24)

LCM = 9794450880/24

LCM = 408102120

Thus, we can understand that the LCM of 292,318,360,293 is 408102120.

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

• LCM of 932, 875, 752, 661
• LCM of 377, 665, 978, 250
• LCM of 684, 663, 939, 938
• LCM of 540, 402, 399, 162
• LCM of 394, 426, 918, 523

1. What is the LCM of 292, 318, 360, 293?

Answer: LCM of 292, 318, 360, 293 is 408102120.

2. How to calculate the LCM of 292, 318, 360, 293?

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 292, 318, 360, 293.

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}.