Given numbers are 147,20,292

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

The LCM of 147,20,292 is 214620.

Find LCM of 147,20,292 with Prime Factorization

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

2 x 2 x 147 x 5 x 73 = 214620

Therefore, the lowest common multiple of 147,20,292 is 214620.

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.

147 x 20 x 292 = 858480

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.

147 : 1, 3, 7, 21, 49, 147

20 : 1, 2, 4, 5, 10, 20

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,20,292, is 1.

Now, the common factors can be found like this.

147:3x 7x 7

20:2x 2x 5

292:2x 2x 73

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 = 858480/(1x4)

LCM = 858480/4

LCM = 214620

Thus, we can understand that the LCM of 147,20,292 is 214620.

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

• LCM of 771, 39, 494
• LCM of 214, 84, 233
• LCM of 861, 98, 688
• LCM of 894, 65, 646
• LCM of 700, 53, 348

1. What is the LCM of 147, 20, 292?

Answer: LCM of 147, 20, 292 is 214620.

2. How to calculate the LCM of 147, 20, 292?

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 147, 20, 292.

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}.