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LCM of 362, 541, 713, 276

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


Find the LCM of 362, 541, 713, 276 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 362, 541, 713, 276. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,541,713,276

Given numbers are 362,541,713,276

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

The LCM of 362,541,713,276 is 837812076.

Find LCM of 362,541,713,276 with Prime Factorization


2 362, 541, 713, 276
23 181, 541, 713, 138
181, 541, 31, 6

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

2 x 23 x 181 x 541 x 31 x 6 = 837812076

Therefore, the lowest common multiple of 362,541,713,276 is 837812076.

LCM Formula to Find Lowest Common Multiple of 362,541,713,276

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.

362 x 541 x 713 x 276 = 38539355496

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.

362 : 1, 2, 181, 362

541 : 1, 541

713 : 1, 23, 31, 713

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,541,713,276, is 1.

Now, the common factors can be found like this.

362:2x 181

541:541

713:23x 31

276:2x 2x 3x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 38539355496/(1x46)

LCM = 38539355496/46

LCM = 837812076

Thus, we can understand that the LCM of 362,541,713,276 is 837812076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 362, 541, 713, 276

1. What is the LCM of 362, 541, 713, 276?

Answer: LCM of 362, 541, 713, 276 is 837812076.

2. How to calculate the LCM of 362, 541, 713, 276?

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 362, 541, 713, 276.

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}.