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LCM of 365, 251, 949, 896

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


Find the LCM of 365, 251, 949, 896 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 365, 251, 949, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,251,949,896

Given numbers are 365,251,949,896

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

The LCM of 365,251,949,896 is 1067131520.

Find LCM of 365,251,949,896 with Prime Factorization


73 365, 251, 949, 896
5, 251, 13, 896

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

73 x 5 x 251 x 13 x 896 = 1067131520

Therefore, the lowest common multiple of 365,251,949,896 is 1067131520.

LCM Formula to Find Lowest Common Multiple of 365,251,949,896

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.

365 x 251 x 949 x 896 = 77900600960

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.

365 : 1, 5, 73, 365

251 : 1, 251

949 : 1, 13, 73, 949

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,251,949,896, is 1.

Now, the common factors can be found like this.

365:5x 73

251:251

949:13x 73

896:2x 2x 2x 2x 2x 2x 2x 7

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

73 = 73

Therefore, the value for common factors is 73.

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 = 77900600960/(1x73)

LCM = 77900600960/73

LCM = 1067131520

Thus, we can understand that the LCM of 365,251,949,896 is 1067131520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 365, 251, 949, 896

1. What is the LCM of 365, 251, 949, 896?

Answer: LCM of 365, 251, 949, 896 is 1067131520.

2. How to calculate the LCM of 365, 251, 949, 896?

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 365, 251, 949, 896.

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}.