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LCM of 940, 209, 220, 824

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


Find the LCM of 940, 209, 220, 824 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 940, 209, 220, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 940,209,220,824

Given numbers are 940,209,220,824

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

The LCM of 940,209,220,824 is 40470760.

Find LCM of 940,209,220,824 with Prime Factorization


2 940, 209, 220, 824
2 470, 209, 110, 412
5 235, 209, 55, 206
11 47, 209, 11, 206
47, 19, 1, 206

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

2 x 2 x 5 x 11 x 47 x 19 x 1 x 206 = 40470760

Therefore, the lowest common multiple of 940,209,220,824 is 40470760.

LCM Formula to Find Lowest Common Multiple of 940,209,220,824

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.

940 x 209 x 220 x 824 = 35614268800

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.

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

209 : 1, 11, 19, 209

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,209,220,824, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

209:11x 19

220:2x 2x 5x 11

824:2x 2x 2x 103

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 2x 5x 11 = 880

Therefore, the value for common factors is 880.

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 = 35614268800/(1x880)

LCM = 35614268800/880

LCM = 40470760

Thus, we can understand that the LCM of 940,209,220,824 is 40470760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 940, 209, 220, 824

1. What is the LCM of 940, 209, 220, 824?

Answer: LCM of 940, 209, 220, 824 is 40470760.

2. How to calculate the LCM of 940, 209, 220, 824?

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 940, 209, 220, 824.

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}.