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LCM of 709, 966, 140, 990

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


Find the LCM of 709, 966, 140, 990 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, 966, 140, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,966,140,990

Given numbers are 709,966,140,990

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

The LCM of 709,966,140,990 is 226015020.

Find LCM of 709,966,140,990 with Prime Factorization


2 709, 966, 140, 990
3 709, 483, 70, 495
5 709, 161, 70, 165
7 709, 161, 14, 33
709, 23, 2, 33

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

2 x 3 x 5 x 7 x 709 x 23 x 2 x 33 = 226015020

Therefore, the lowest common multiple of 709,966,140,990 is 226015020.

LCM Formula to Find Lowest Common Multiple of 709,966,140,990

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 966 x 140 x 990 = 94926308400

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,966,140,990, is 1.

Now, the common factors can be found like this.

709:709

966:2x 3x 7x 23

140:2x 2x 5x 7

990:2x 3x 3x 5x 11

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 3x 5x 7 = 420

Therefore, the value for common factors is 420.

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 = 94926308400/(1x420)

LCM = 94926308400/420

LCM = 226015020

Thus, we can understand that the LCM of 709,966,140,990 is 226015020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 966, 140, 990

1. What is the LCM of 709, 966, 140, 990?

Answer: LCM of 709, 966, 140, 990 is 226015020.

2. How to calculate the LCM of 709, 966, 140, 990?

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, 966, 140, 990.

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}.