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LCM of 361, 141, 706, 235

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


Find the LCM of 361, 141, 706, 235 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, 141, 706, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,141,706,235

Given numbers are 361,141,706,235

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

The LCM of 361,141,706,235 is 179680530.

Find LCM of 361,141,706,235 with Prime Factorization


47 361, 141, 706, 235
361, 3, 706, 5

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

47 x 361 x 3 x 706 x 5 = 179680530

Therefore, the lowest common multiple of 361,141,706,235 is 179680530.

LCM Formula to Find Lowest Common Multiple of 361,141,706,235

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 141 x 706 x 235 = 8444984910

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

141 : 1, 3, 47, 141

706 : 1, 2, 353, 706

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,141,706,235, is 1.

Now, the common factors can be found like this.

361:19x 19

141:3x 47

706:2x 353

235:5x 47

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

47 = 47

Therefore, the value for common factors is 47.

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 = 8444984910/(1x47)

LCM = 8444984910/47

LCM = 179680530

Thus, we can understand that the LCM of 361,141,706,235 is 179680530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 141, 706, 235

1. What is the LCM of 361, 141, 706, 235?

Answer: LCM of 361, 141, 706, 235 is 179680530.

2. How to calculate the LCM of 361, 141, 706, 235?

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, 141, 706, 235.

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}.