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LCM of 874, 787, 787, 672, 682

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


Find the LCM of 874, 787, 787, 672, 682 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 874, 787, 787, 672, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 874,787,787,672,682

Given numbers are 874,787,787,672,682

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

The LCM of 874,787,787,672,682 is 78809726688.

Find LCM of 874,787,787,672,682 with Prime Factorization


2 874, 787, 787, 672, 682
787 437, 787, 787, 336, 341
437, 1, 1, 336, 341

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

2 x 787 x 437 x 1 x 1 x 336 x 341 = 78809726688

Therefore, the lowest common multiple of 874,787,787,672,682 is 78809726688.

LCM Formula to Find Lowest Common Multiple of 874,787,787,672,682

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.

874 x 787 x 787 x 672 x 682 = 248093019613824

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

787 : 1, 787

787 : 1, 787

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,787,787,672,682, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

787:787

787:787

672:2x 2x 2x 2x 2x 3x 7

682:2x 11x 31

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 787 = 3148

Therefore, the value for common factors is 3148.

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 = 248093019613824/(1x3148)

LCM = 248093019613824/3148

LCM = 78809726688

Thus, we can understand that the LCM of 874,787,787,672,682 is 78809726688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 874, 787, 787, 672, 682

1. What is the LCM of 874, 787, 787, 672, 682?

Answer: LCM of 874, 787, 787, 672, 682 is 78809726688.

2. How to calculate the LCM of 874, 787, 787, 672, 682?

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 874, 787, 787, 672, 682.

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}.