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LCM of 163, 673, 234, 528, 547

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


Find the LCM of 163, 673, 234, 528, 547 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 163, 673, 234, 528, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 163,673,234,528,547

Given numbers are 163,673,234,528,547

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

The LCM of 163,673,234,528,547 is 1235630228976.

Find LCM of 163,673,234,528,547 with Prime Factorization


2 163, 673, 234, 528, 547
3 163, 673, 117, 264, 547
163, 673, 39, 88, 547

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

2 x 3 x 163 x 673 x 39 x 88 x 547 = 1235630228976

Therefore, the lowest common multiple of 163,673,234,528,547 is 1235630228976.

LCM Formula to Find Lowest Common Multiple of 163,673,234,528,547

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.

163 x 673 x 234 x 528 x 547 = 7413781373856

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.

163 : 1, 163

673 : 1, 673

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,673,234,528,547, is 1.

Now, the common factors can be found like this.

163:163

673:673

234:2x 3x 3x 13

528:2x 2x 2x 2x 3x 11

547:547

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 7413781373856/(1x6)

LCM = 7413781373856/6

LCM = 1235630228976

Thus, we can understand that the LCM of 163,673,234,528,547 is 1235630228976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 163, 673, 234, 528, 547

1. What is the LCM of 163, 673, 234, 528, 547?

Answer: LCM of 163, 673, 234, 528, 547 is 1235630228976.

2. How to calculate the LCM of 163, 673, 234, 528, 547?

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 163, 673, 234, 528, 547.

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}.