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LCM of 361, 361, 708, 685

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


Find the LCM of 361, 361, 708, 685 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 361, 361, 708, 685. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,361,708,685

Given numbers are 361,361,708,685

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

The LCM of 361,361,708,685 is 175077780.

Find LCM of 361,361,708,685 with Prime Factorization


19 361, 361, 708, 685
19 19, 19, 708, 685
1, 1, 708, 685

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

19 x 19 x 1 x 1 x 708 x 685 = 175077780

Therefore, the lowest common multiple of 361,361,708,685 is 175077780.

LCM Formula to Find Lowest Common Multiple of 361,361,708,685

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.

361 x 361 x 708 x 685 = 63203078580

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.

361 : 1, 19, 361

361 : 1, 19, 361

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,361,708,685, is 1.

Now, the common factors can be found like this.

361:19x 19

361:19x 19

708:2x 2x 3x 59

685:5x 137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 63203078580/(1x361)

LCM = 63203078580/361

LCM = 175077780

Thus, we can understand that the LCM of 361,361,708,685 is 175077780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 361, 708, 685

1. What is the LCM of 361, 361, 708, 685?

Answer: LCM of 361, 361, 708, 685 is 175077780.

2. How to calculate the LCM of 361, 361, 708, 685?

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 361, 361, 708, 685.

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}.