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LCM of 943, 748, 442, 556

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


Find the LCM of 943, 748, 442, 556 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 943, 748, 442, 556. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 943,748,442,556

Given numbers are 943,748,442,556

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

The LCM of 943,748,442,556 is 1274592748.

Find LCM of 943,748,442,556 with Prime Factorization


2 943, 748, 442, 556
2 943, 374, 221, 278
17 943, 187, 221, 139
943, 11, 13, 139

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

2 x 2 x 17 x 943 x 11 x 13 x 139 = 1274592748

Therefore, the lowest common multiple of 943,748,442,556 is 1274592748.

LCM Formula to Find Lowest Common Multiple of 943,748,442,556

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.

943 x 748 x 442 x 556 = 173344613728

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.

943 : 1, 23, 41, 943

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

442 : 1, 2, 13, 17, 26, 34, 221, 442

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,748,442,556, is 1.

Now, the common factors can be found like this.

943:23x 41

748:2x 2x 11x 17

442:2x 13x 17

556:2x 2x 139

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 17 = 136

Therefore, the value for common factors is 136.

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 = 173344613728/(1x136)

LCM = 173344613728/136

LCM = 1274592748

Thus, we can understand that the LCM of 943,748,442,556 is 1274592748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 943, 748, 442, 556

1. What is the LCM of 943, 748, 442, 556?

Answer: LCM of 943, 748, 442, 556 is 1274592748.

2. How to calculate the LCM of 943, 748, 442, 556?

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 943, 748, 442, 556.

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}.