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LCM of 144, 485, 584, 870, 724

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


Find the LCM of 144, 485, 584, 870, 724 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 144, 485, 584, 870, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 144,485,584,870,724

Given numbers are 144,485,584,870,724

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

The LCM of 144,485,584,870,724 is 26761081680.

Find LCM of 144,485,584,870,724 with Prime Factorization


2 144, 485, 584, 870, 724
2 72, 485, 292, 435, 362
2 36, 485, 146, 435, 181
3 18, 485, 73, 435, 181
5 6, 485, 73, 145, 181
6, 97, 73, 29, 181

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

2 x 2 x 2 x 3 x 5 x 6 x 97 x 73 x 29 x 181 = 26761081680

Therefore, the lowest common multiple of 144,485,584,870,724 is 26761081680.

LCM Formula to Find Lowest Common Multiple of 144,485,584,870,724

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.

144 x 485 x 584 x 870 x 724 = 25690638412800

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

485 : 1, 5, 97, 485

584 : 1, 2, 4, 8, 73, 146, 292, 584

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,485,584,870,724, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

485:5x 97

584:2x 2x 2x 73

870:2x 3x 5x 29

724:2x 2x 181

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 2x 2x 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 25690638412800/(1x960)

LCM = 25690638412800/960

LCM = 26761081680

Thus, we can understand that the LCM of 144,485,584,870,724 is 26761081680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 144, 485, 584, 870, 724

1. What is the LCM of 144, 485, 584, 870, 724?

Answer: LCM of 144, 485, 584, 870, 724 is 26761081680.

2. How to calculate the LCM of 144, 485, 584, 870, 724?

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 144, 485, 584, 870, 724.

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}.