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LCM of 155, 186, 382, 748

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


Find the LCM of 155, 186, 382, 748 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 155, 186, 382, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 155,186,382,748

Given numbers are 155,186,382,748

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

The LCM of 155,186,382,748 is 66433620.

Find LCM of 155,186,382,748 with Prime Factorization


2 155, 186, 382, 748
31 155, 93, 191, 374
5, 3, 191, 374

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

2 x 31 x 5 x 3 x 191 x 374 = 66433620

Therefore, the lowest common multiple of 155,186,382,748 is 66433620.

LCM Formula to Find Lowest Common Multiple of 155,186,382,748

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.

155 x 186 x 382 x 748 = 8237768880

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.

155 : 1, 5, 31, 155

186 : 1, 2, 3, 6, 31, 62, 93, 186

382 : 1, 2, 191, 382

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,186,382,748, is 1.

Now, the common factors can be found like this.

155:5x 31

186:2x 3x 31

382:2x 191

748:2x 2x 11x 17

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 31 = 124

Therefore, the value for common factors is 124.

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 = 8237768880/(1x124)

LCM = 8237768880/124

LCM = 66433620

Thus, we can understand that the LCM of 155,186,382,748 is 66433620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 155, 186, 382, 748

1. What is the LCM of 155, 186, 382, 748?

Answer: LCM of 155, 186, 382, 748 is 66433620.

2. How to calculate the LCM of 155, 186, 382, 748?

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 155, 186, 382, 748.

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}.