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LCM of 308, 706, 706, 248

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


Find the LCM of 308, 706, 706, 248 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 308, 706, 706, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,706,706,248

Given numbers are 308,706,706,248

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

The LCM of 308,706,706,248 is 6740888.

Find LCM of 308,706,706,248 with Prime Factorization


2 308, 706, 706, 248
2 154, 353, 353, 124
353 77, 353, 353, 62
77, 1, 1, 62

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

2 x 2 x 353 x 77 x 1 x 1 x 62 = 6740888

Therefore, the lowest common multiple of 308,706,706,248 is 6740888.

LCM Formula to Find Lowest Common Multiple of 308,706,706,248

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.

308 x 706 x 706 x 248 = 38072535424

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.

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

706 : 1, 2, 353, 706

706 : 1, 2, 353, 706

248 : 1, 2, 4, 8, 31, 62, 124, 248

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,706,706,248, is 2.

Now, the common factors can be found like this.

308:2x 2x 7x 11

706:2x 353

706:2x 353

248:2x 2x 2x 31

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 353 = 2824

Therefore, the value for common factors is 2824.

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 = 38072535424/(2x2824)

LCM = 38072535424/5648

LCM = 6740888

Thus, we can understand that the LCM of 308,706,706,248 is 6740888.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 308, 706, 706, 248

1. What is the LCM of 308, 706, 706, 248?

Answer: LCM of 308, 706, 706, 248 is 6740888.

2. How to calculate the LCM of 308, 706, 706, 248?

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 308, 706, 706, 248.

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}.