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LCM of 349, 574, 943, 940

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


Find the LCM of 349, 574, 943, 940 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 349, 574, 943, 940. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 349,574,943,940

Given numbers are 349,574,943,940

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

The LCM of 349,574,943,940 is 2165524060.

Find LCM of 349,574,943,940 with Prime Factorization


2 349, 574, 943, 940
41 349, 287, 943, 470
349, 7, 23, 470

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

2 x 41 x 349 x 7 x 23 x 470 = 2165524060

Therefore, the lowest common multiple of 349,574,943,940 is 2165524060.

LCM Formula to Find Lowest Common Multiple of 349,574,943,940

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.

349 x 574 x 943 x 940 = 177572972920

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.

349 : 1, 349

574 : 1, 2, 7, 14, 41, 82, 287, 574

943 : 1, 23, 41, 943

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,574,943,940, is 1.

Now, the common factors can be found like this.

349:349

574:2x 7x 41

943:23x 41

940:2x 2x 5x 47

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

2x 41 = 82

Therefore, the value for common factors is 82.

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 = 177572972920/(1x82)

LCM = 177572972920/82

LCM = 2165524060

Thus, we can understand that the LCM of 349,574,943,940 is 2165524060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 349, 574, 943, 940

1. What is the LCM of 349, 574, 943, 940?

Answer: LCM of 349, 574, 943, 940 is 2165524060.

2. How to calculate the LCM of 349, 574, 943, 940?

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 349, 574, 943, 940.

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}.