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LCM of 178, 876, 638, 783

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


Find the LCM of 178, 876, 638, 783 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 178, 876, 638, 783. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 178,876,638,783

Given numbers are 178,876,638,783

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

The LCM of 178,876,638,783 is 223834644.

Find LCM of 178,876,638,783 with Prime Factorization


2 178, 876, 638, 783
3 89, 438, 319, 783
29 89, 146, 319, 261
89, 146, 11, 9

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

2 x 3 x 29 x 89 x 146 x 11 x 9 = 223834644

Therefore, the lowest common multiple of 178,876,638,783 is 223834644.

LCM Formula to Find Lowest Common Multiple of 178,876,638,783

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.

178 x 876 x 638 x 783 = 77894456112

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.

178 : 1, 2, 89, 178

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

638 : 1, 2, 11, 22, 29, 58, 319, 638

783 : 1, 3, 9, 27, 29, 87, 261, 783

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,876,638,783, is 1.

Now, the common factors can be found like this.

178:2x 89

876:2x 2x 3x 73

638:2x 11x 29

783:3x 3x 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 29 = 348

Therefore, the value for common factors is 348.

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 = 77894456112/(1x348)

LCM = 77894456112/348

LCM = 223834644

Thus, we can understand that the LCM of 178,876,638,783 is 223834644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 178, 876, 638, 783

1. What is the LCM of 178, 876, 638, 783?

Answer: LCM of 178, 876, 638, 783 is 223834644.

2. How to calculate the LCM of 178, 876, 638, 783?

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 178, 876, 638, 783.

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}.