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LCM of 616, 844, 770, 889, 471

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


Find the LCM of 616, 844, 770, 889, 471 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 616, 844, 770, 889, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,844,770,889,471

Given numbers are 616,844,770,889,471

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

The LCM of 616,844,770,889,471 is 38873871960.

Find LCM of 616,844,770,889,471 with Prime Factorization


2 616, 844, 770, 889, 471
2 308, 422, 385, 889, 471
7 154, 211, 385, 889, 471
11 22, 211, 55, 127, 471
2, 211, 5, 127, 471

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

2 x 2 x 7 x 11 x 2 x 211 x 5 x 127 x 471 = 38873871960

Therefore, the lowest common multiple of 616,844,770,889,471 is 38873871960.

LCM Formula to Find Lowest Common Multiple of 616,844,770,889,471

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.

616 x 844 x 770 x 889 x 471 = 167624135891520

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

844 : 1, 2, 4, 211, 422, 844

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

889 : 1, 7, 127, 889

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,844,770,889,471, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

844:2x 2x 211

770:2x 5x 7x 11

889:7x 127

471:3x 157

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 7x 7x 11 = 4312

Therefore, the value for common factors is 4312.

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 = 167624135891520/(1x4312)

LCM = 167624135891520/4312

LCM = 38873871960

Thus, we can understand that the LCM of 616,844,770,889,471 is 38873871960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 844, 770, 889, 471

1. What is the LCM of 616, 844, 770, 889, 471?

Answer: LCM of 616, 844, 770, 889, 471 is 38873871960.

2. How to calculate the LCM of 616, 844, 770, 889, 471?

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 616, 844, 770, 889, 471.

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}.