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LCM of 709, 892, 977, 400

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


Find the LCM of 709, 892, 977, 400 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 709, 892, 977, 400. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,892,977,400

Given numbers are 709,892,977,400

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

The LCM of 709,892,977,400 is 61788215600.

Find LCM of 709,892,977,400 with Prime Factorization


2 709, 892, 977, 400
2 709, 446, 977, 200
709, 223, 977, 100

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

2 x 2 x 709 x 223 x 977 x 100 = 61788215600

Therefore, the lowest common multiple of 709,892,977,400 is 61788215600.

LCM Formula to Find Lowest Common Multiple of 709,892,977,400

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.

709 x 892 x 977 x 400 = 247152862400

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.

709 : 1, 709

892 : 1, 2, 4, 223, 446, 892

977 : 1, 977

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,892,977,400, is 1.

Now, the common factors can be found like this.

709:709

892:2x 2x 223

977:977

400:2x 2x 2x 2x 5x 5

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 247152862400/(1x4)

LCM = 247152862400/4

LCM = 61788215600

Thus, we can understand that the LCM of 709,892,977,400 is 61788215600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 892, 977, 400

1. What is the LCM of 709, 892, 977, 400?

Answer: LCM of 709, 892, 977, 400 is 61788215600.

2. How to calculate the LCM of 709, 892, 977, 400?

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 709, 892, 977, 400.

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}.