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LCM of 911, 469, 134, 616, 880

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


Find the LCM of 911, 469, 134, 616, 880 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 911, 469, 134, 616, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 911,469,134,616,880

Given numbers are 911,469,134,616,880

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

The LCM of 911,469,134,616,880 is 375987920.

Find LCM of 911,469,134,616,880 with Prime Factorization


2 911, 469, 134, 616, 880
2 911, 469, 67, 308, 440
2 911, 469, 67, 154, 220
7 911, 469, 67, 77, 110
11 911, 67, 67, 11, 110
67 911, 67, 67, 1, 10
911, 1, 1, 1, 10

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

2 x 2 x 2 x 7 x 11 x 67 x 911 x 1 x 1 x 1 x 10 = 375987920

Therefore, the lowest common multiple of 911,469,134,616,880 is 375987920.

LCM Formula to Find Lowest Common Multiple of 911,469,134,616,880

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.

911 x 469 x 134 x 616 x 880 = 31035546868480

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.

911 : 1, 911

469 : 1, 7, 67, 469

134 : 1, 2, 67, 134

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,469,134,616,880, is 1.

Now, the common factors can be found like this.

911:911

469:7x 67

134:2x 67

616:2x 2x 2x 7x 11

880:2x 2x 2x 2x 5x 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 2x 2x 2x 7x 11x 67 = 82544

Therefore, the value for common factors is 82544.

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 = 31035546868480/(1x82544)

LCM = 31035546868480/82544

LCM = 375987920

Thus, we can understand that the LCM of 911,469,134,616,880 is 375987920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 911, 469, 134, 616, 880

1. What is the LCM of 911, 469, 134, 616, 880?

Answer: LCM of 911, 469, 134, 616, 880 is 375987920.

2. How to calculate the LCM of 911, 469, 134, 616, 880?

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 911, 469, 134, 616, 880.

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}.