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LCM of 740, 949, 285, 247

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


Find the LCM of 740, 949, 285, 247 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 740, 949, 285, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 740,949,285,247

Given numbers are 740,949,285,247

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

The LCM of 740,949,285,247 is 40028820.

Find LCM of 740,949,285,247 with Prime Factorization


5 740, 949, 285, 247
13 148, 949, 57, 247
19 148, 73, 57, 19
148, 73, 3, 1

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

5 x 13 x 19 x 148 x 73 x 3 x 1 = 40028820

Therefore, the lowest common multiple of 740,949,285,247 is 40028820.

LCM Formula to Find Lowest Common Multiple of 740,949,285,247

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.

740 x 949 x 285 x 247 = 49435592700

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.

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

949 : 1, 13, 73, 949

285 : 1, 3, 5, 15, 19, 57, 95, 285

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,949,285,247, is 1.

Now, the common factors can be found like this.

740:2x 2x 5x 37

949:13x 73

285:3x 5x 19

247:13x 19

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

5x 13x 19 = 1235

Therefore, the value for common factors is 1235.

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 = 49435592700/(1x1235)

LCM = 49435592700/1235

LCM = 40028820

Thus, we can understand that the LCM of 740,949,285,247 is 40028820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 740, 949, 285, 247

1. What is the LCM of 740, 949, 285, 247?

Answer: LCM of 740, 949, 285, 247 is 40028820.

2. How to calculate the LCM of 740, 949, 285, 247?

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 740, 949, 285, 247.

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}.