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LCM of 873, 763, 348, 696

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


Find the LCM of 873, 763, 348, 696 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 873, 763, 348, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,763,348,696

Given numbers are 873,763,348,696

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

The LCM of 873,763,348,696 is 154534968.

Find LCM of 873,763,348,696 with Prime Factorization


2 873, 763, 348, 696
2 873, 763, 174, 348
3 873, 763, 87, 174
29 291, 763, 29, 58
291, 763, 1, 2

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

2 x 2 x 3 x 29 x 291 x 763 x 1 x 2 = 154534968

Therefore, the lowest common multiple of 873,763,348,696 is 154534968.

LCM Formula to Find Lowest Common Multiple of 873,763,348,696

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.

873 x 763 x 348 x 696 = 161334506592

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.

873 : 1, 3, 9, 97, 291, 873

763 : 1, 7, 109, 763

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,763,348,696, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

763:7x 109

348:2x 2x 3x 29

696:2x 2x 2x 3x 29

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 3x 3x 29 = 1044

Therefore, the value for common factors is 1044.

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 = 161334506592/(1x1044)

LCM = 161334506592/1044

LCM = 154534968

Thus, we can understand that the LCM of 873,763,348,696 is 154534968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 763, 348, 696

1. What is the LCM of 873, 763, 348, 696?

Answer: LCM of 873, 763, 348, 696 is 154534968.

2. How to calculate the LCM of 873, 763, 348, 696?

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 873, 763, 348, 696.

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}.