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LCM of 148, 546, 775, 326, 212

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 148, 546, 775, 326, 212 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 148, 546, 775, 326, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,546,775,326,212

Given numbers are 148,546,775,326,212

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

The LCM of 148,546,775,326,212 is 270513870900.

Find LCM of 148,546,775,326,212 with Prime Factorization


2 148, 546, 775, 326, 212
2 74, 273, 775, 163, 106
37, 273, 775, 163, 53

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

2 x 2 x 37 x 273 x 775 x 163 x 53 = 270513870900

Therefore, the lowest common multiple of 148,546,775,326,212 is 270513870900.

LCM Formula to Find Lowest Common Multiple of 148,546,775,326,212

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.

148 x 546 x 775 x 326 x 212 = 4328221934400

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.

148 : 1, 2, 4, 37, 74, 148

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

775 : 1, 5, 25, 31, 155, 775

326 : 1, 2, 163, 326

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,546,775,326,212, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

546:2x 3x 7x 13

775:5x 5x 31

326:2x 163

212:2x 2x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4328221934400/(1x16)

LCM = 4328221934400/16

LCM = 270513870900

Thus, we can understand that the LCM of 148,546,775,326,212 is 270513870900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 546, 775, 326, 212

1. What is the LCM of 148, 546, 775, 326, 212?

Answer: LCM of 148, 546, 775, 326, 212 is 270513870900.

2. How to calculate the LCM of 148, 546, 775, 326, 212?

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 148, 546, 775, 326, 212.

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}.