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LCM of 742, 947, 274, 223, 338

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


Find the LCM of 742, 947, 274, 223, 338 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 742, 947, 274, 223, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,947,274,223,338

Given numbers are 742,947,274,223,338

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

The LCM of 742,947,274,223,338 is 3627989480206.

Find LCM of 742,947,274,223,338 with Prime Factorization


2 742, 947, 274, 223, 338
371, 947, 137, 223, 169

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

2 x 371 x 947 x 137 x 223 x 169 = 3627989480206

Therefore, the lowest common multiple of 742,947,274,223,338 is 3627989480206.

LCM Formula to Find Lowest Common Multiple of 742,947,274,223,338

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.

742 x 947 x 274 x 223 x 338 = 14511957920824

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

947 : 1, 947

274 : 1, 2, 137, 274

223 : 1, 223

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,947,274,223,338, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

947:947

274:2x 137

223:223

338:2x 13x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 14511957920824/(1x4)

LCM = 14511957920824/4

LCM = 3627989480206

Thus, we can understand that the LCM of 742,947,274,223,338 is 3627989480206.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 947, 274, 223, 338

1. What is the LCM of 742, 947, 274, 223, 338?

Answer: LCM of 742, 947, 274, 223, 338 is 3627989480206.

2. How to calculate the LCM of 742, 947, 274, 223, 338?

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 742, 947, 274, 223, 338.

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}.