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LCM of 147, 890, 788, 788

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


Find the LCM of 147, 890, 788, 788 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 147, 890, 788, 788. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 147,890,788,788

Given numbers are 147,890,788,788

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

The LCM of 147,890,788,788 is 51547020.

Find LCM of 147,890,788,788 with Prime Factorization


2 147, 890, 788, 788
2 147, 445, 394, 394
197 147, 445, 197, 197
147, 445, 1, 1

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

2 x 2 x 197 x 147 x 445 x 1 x 1 = 51547020

Therefore, the lowest common multiple of 147,890,788,788 is 51547020.

LCM Formula to Find Lowest Common Multiple of 147,890,788,788

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.

147 x 890 x 788 x 788 = 81238103520

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.

147 : 1, 3, 7, 21, 49, 147

890 : 1, 2, 5, 10, 89, 178, 445, 890

788 : 1, 2, 4, 197, 394, 788

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,890,788,788, is 1.

Now, the common factors can be found like this.

147:3x 7x 7

890:2x 5x 89

788:2x 2x 197

788:2x 2x 197

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 197 = 1576

Therefore, the value for common factors is 1576.

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 = 81238103520/(1x1576)

LCM = 81238103520/1576

LCM = 51547020

Thus, we can understand that the LCM of 147,890,788,788 is 51547020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 147, 890, 788, 788

1. What is the LCM of 147, 890, 788, 788?

Answer: LCM of 147, 890, 788, 788 is 51547020.

2. How to calculate the LCM of 147, 890, 788, 788?

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 147, 890, 788, 788.

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}.