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LCM of 940, 416, 221, 295, 769

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


Find the LCM of 940, 416, 221, 295, 769 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, 416, 221, 295, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 940,416,221,295,769

Given numbers are 940,416,221,295,769

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

The LCM of 940,416,221,295,769 is 75402972320.

Find LCM of 940,416,221,295,769 with Prime Factorization


2 940, 416, 221, 295, 769
2 470, 208, 221, 295, 769
5 235, 104, 221, 295, 769
13 47, 104, 221, 59, 769
47, 8, 17, 59, 769

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

2 x 2 x 5 x 13 x 47 x 8 x 17 x 59 x 769 = 75402972320

Therefore, the lowest common multiple of 940,416,221,295,769 is 75402972320.

LCM Formula to Find Lowest Common Multiple of 940,416,221,295,769

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 416 x 221 x 295 x 769 = 19604772803200

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

221 : 1, 13, 17, 221

295 : 1, 5, 59, 295

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,416,221,295,769, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

416:2x 2x 2x 2x 2x 13

221:13x 17

295:5x 59

769:769

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 5x 13 = 260

Therefore, the value for common factors is 260.

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 = 19604772803200/(1x260)

LCM = 19604772803200/260

LCM = 75402972320

Thus, we can understand that the LCM of 940,416,221,295,769 is 75402972320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 940, 416, 221, 295, 769

1. What is the LCM of 940, 416, 221, 295, 769?

Answer: LCM of 940, 416, 221, 295, 769 is 75402972320.

2. How to calculate the LCM of 940, 416, 221, 295, 769?

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, 416, 221, 295, 769.

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}.