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LCM of 874, 221, 663, 547, 155

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


Find the LCM of 874, 221, 663, 547, 155 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 874, 221, 663, 547, 155. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,221,663,547,155

Given numbers are 874,221,663,547,155

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

The LCM of 874,221,663,547,155 is 49129685670.

Find LCM of 874,221,663,547,155 with Prime Factorization


13 874, 221, 663, 547, 155
17 874, 17, 51, 547, 155
874, 1, 3, 547, 155

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

13 x 17 x 874 x 1 x 3 x 547 x 155 = 49129685670

Therefore, the lowest common multiple of 874,221,663,547,155 is 49129685670.

LCM Formula to Find Lowest Common Multiple of 874,221,663,547,155

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.

874 x 221 x 663 x 547 x 155 = 10857660533070

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

221 : 1, 13, 17, 221

663 : 1, 3, 13, 17, 39, 51, 221, 663

547 : 1, 547

155 : 1, 5, 31, 155

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,221,663,547,155, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

221:13x 17

663:3x 13x 17

547:547

155:5x 31

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 10857660533070/(1x221)

LCM = 10857660533070/221

LCM = 49129685670

Thus, we can understand that the LCM of 874,221,663,547,155 is 49129685670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 221, 663, 547, 155

1. What is the LCM of 874, 221, 663, 547, 155?

Answer: LCM of 874, 221, 663, 547, 155 is 49129685670.

2. How to calculate the LCM of 874, 221, 663, 547, 155?

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 874, 221, 663, 547, 155.

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}.