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LCM of 987, 955, 703, 703

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


Find the LCM of 987, 955, 703, 703 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 987, 955, 703, 703. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 987,955,703,703

Given numbers are 987,955,703,703

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

The LCM of 987,955,703,703 is 662637255.

Find LCM of 987,955,703,703 with Prime Factorization


19 987, 955, 703, 703
37 987, 955, 37, 37
987, 955, 1, 1

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

19 x 37 x 987 x 955 x 1 x 1 = 662637255

Therefore, the lowest common multiple of 987,955,703,703 is 662637255.

LCM Formula to Find Lowest Common Multiple of 987,955,703,703

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.

987 x 955 x 703 x 703 = 465833990265

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.

987 : 1, 3, 7, 21, 47, 141, 329, 987

955 : 1, 5, 191, 955

703 : 1, 19, 37, 703

703 : 1, 19, 37, 703

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,955,703,703, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

955:5x 191

703:19x 37

703:19x 37

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

19x 37 = 703

Therefore, the value for common factors is 703.

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 = 465833990265/(1x703)

LCM = 465833990265/703

LCM = 662637255

Thus, we can understand that the LCM of 987,955,703,703 is 662637255.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 987, 955, 703, 703

1. What is the LCM of 987, 955, 703, 703?

Answer: LCM of 987, 955, 703, 703 is 662637255.

2. How to calculate the LCM of 987, 955, 703, 703?

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 987, 955, 703, 703.

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}.