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LCM of 949, 956, 219, 365

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


Find the LCM of 949, 956, 219, 365 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 949, 956, 219, 365. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,956,219,365

Given numbers are 949,956,219,365

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

The LCM of 949,956,219,365 is 13608660.

Find LCM of 949,956,219,365 with Prime Factorization


73 949, 956, 219, 365
13, 956, 3, 5

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

73 x 13 x 956 x 3 x 5 = 13608660

Therefore, the lowest common multiple of 949,956,219,365 is 13608660.

LCM Formula to Find Lowest Common Multiple of 949,956,219,365

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.

949 x 956 x 219 x 365 = 72520549140

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.

949 : 1, 13, 73, 949

956 : 1, 2, 4, 239, 478, 956

219 : 1, 3, 73, 219

365 : 1, 5, 73, 365

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,956,219,365, is 1.

Now, the common factors can be found like this.

949:13x 73

956:2x 2x 239

219:3x 73

365:5x 73

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

73x 73 = 5329

Therefore, the value for common factors is 5329.

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 = 72520549140/(1x5329)

LCM = 72520549140/5329

LCM = 13608660

Thus, we can understand that the LCM of 949,956,219,365 is 13608660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 956, 219, 365

1. What is the LCM of 949, 956, 219, 365?

Answer: LCM of 949, 956, 219, 365 is 13608660.

2. How to calculate the LCM of 949, 956, 219, 365?

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 949, 956, 219, 365.

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}.