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LCM of 212, 370, 148, 308

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


Find the LCM of 212, 370, 148, 308 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 212, 370, 148, 308. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,370,148,308

Given numbers are 212,370,148,308

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

The LCM of 212,370,148,308 is 3019940.

Find LCM of 212,370,148,308 with Prime Factorization


2 212, 370, 148, 308
2 106, 185, 74, 154
37 53, 185, 37, 77
53, 5, 1, 77

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

2 x 2 x 37 x 53 x 5 x 1 x 77 = 3019940

Therefore, the lowest common multiple of 212,370,148,308 is 3019940.

LCM Formula to Find Lowest Common Multiple of 212,370,148,308

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.

212 x 370 x 148 x 308 = 3575608960

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.

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

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

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,370,148,308, is 2.

Now, the common factors can be found like this.

212:2x 2x 53

370:2x 5x 37

148:2x 2x 37

308:2x 2x 7x 11

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 2x 37 = 592

Therefore, the value for common factors is 592.

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 = 3575608960/(2x592)

LCM = 3575608960/1184

LCM = 3019940

Thus, we can understand that the LCM of 212,370,148,308 is 3019940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 370, 148, 308

1. What is the LCM of 212, 370, 148, 308?

Answer: LCM of 212, 370, 148, 308 is 3019940.

2. How to calculate the LCM of 212, 370, 148, 308?

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 212, 370, 148, 308.

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}.