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LCM of 180, 535, 158, 736

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


Find the LCM of 180, 535, 158, 736 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 180, 535, 158, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 180,535,158,736

Given numbers are 180,535,158,736

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

The LCM of 180,535,158,736 is 279963360.

Find LCM of 180,535,158,736 with Prime Factorization


2 180, 535, 158, 736
2 90, 535, 79, 368
5 45, 535, 79, 184
9, 107, 79, 184

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

2 x 2 x 5 x 9 x 107 x 79 x 184 = 279963360

Therefore, the lowest common multiple of 180,535,158,736 is 279963360.

LCM Formula to Find Lowest Common Multiple of 180,535,158,736

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.

180 x 535 x 158 x 736 = 11198534400

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

535 : 1, 5, 107, 535

158 : 1, 2, 79, 158

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,535,158,736, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

535:5x 107

158:2x 79

736:2x 2x 2x 2x 2x 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 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 11198534400/(1x40)

LCM = 11198534400/40

LCM = 279963360

Thus, we can understand that the LCM of 180,535,158,736 is 279963360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 180, 535, 158, 736

1. What is the LCM of 180, 535, 158, 736?

Answer: LCM of 180, 535, 158, 736 is 279963360.

2. How to calculate the LCM of 180, 535, 158, 736?

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 180, 535, 158, 736.

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}.