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LCM of 550, 407, 867, 968

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


Find the LCM of 550, 407, 867, 968 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 550, 407, 867, 968. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 550,407,867,968

Given numbers are 550,407,867,968

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

The LCM of 550,407,867,968 is 776311800.

Find LCM of 550,407,867,968 with Prime Factorization


2 550, 407, 867, 968
11 275, 407, 867, 484
25, 37, 867, 44

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

2 x 11 x 25 x 37 x 867 x 44 = 776311800

Therefore, the lowest common multiple of 550,407,867,968 is 776311800.

LCM Formula to Find Lowest Common Multiple of 550,407,867,968

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.

550 x 407 x 867 x 968 = 187867455600

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.

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

407 : 1, 11, 37, 407

867 : 1, 3, 17, 51, 289, 867

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,407,867,968, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

407:11x 37

867:3x 17x 17

968:2x 2x 2x 11x 11

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 187867455600/(1x242)

LCM = 187867455600/242

LCM = 776311800

Thus, we can understand that the LCM of 550,407,867,968 is 776311800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 550, 407, 867, 968

1. What is the LCM of 550, 407, 867, 968?

Answer: LCM of 550, 407, 867, 968 is 776311800.

2. How to calculate the LCM of 550, 407, 867, 968?

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 550, 407, 867, 968.

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}.