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LCM of 706, 803, 236, 546, 362

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


Find the LCM of 706, 803, 236, 546, 362 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 706, 803, 236, 546, 362. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 706,803,236,546,362

Given numbers are 706,803,236,546,362

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

The LCM of 706,803,236,546,362 is 3305548057812.

Find LCM of 706,803,236,546,362 with Prime Factorization


2 706, 803, 236, 546, 362
353, 803, 118, 273, 181

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

2 x 353 x 803 x 118 x 273 x 181 = 3305548057812

Therefore, the lowest common multiple of 706,803,236,546,362 is 3305548057812.

LCM Formula to Find Lowest Common Multiple of 706,803,236,546,362

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.

706 x 803 x 236 x 546 x 362 = 26444384462496

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.

706 : 1, 2, 353, 706

803 : 1, 11, 73, 803

236 : 1, 2, 4, 59, 118, 236

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

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,803,236,546,362, is 1.

Now, the common factors can be found like this.

706:2x 353

803:11x 73

236:2x 2x 59

546:2x 3x 7x 13

362:2x 181

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 2 = 8

Therefore, the value for common factors is 8.

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 = 26444384462496/(1x8)

LCM = 26444384462496/8

LCM = 3305548057812

Thus, we can understand that the LCM of 706,803,236,546,362 is 3305548057812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 706, 803, 236, 546, 362

1. What is the LCM of 706, 803, 236, 546, 362?

Answer: LCM of 706, 803, 236, 546, 362 is 3305548057812.

2. How to calculate the LCM of 706, 803, 236, 546, 362?

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 706, 803, 236, 546, 362.

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}.