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LCM of 961, 144, 767, 938, 880

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


Find the LCM of 961, 144, 767, 938, 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 961, 144, 767, 938, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,144,767,938,880

Given numbers are 961,144,767,938,880

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

The LCM of 961,144,767,938,880 is 2737894919760.

Find LCM of 961,144,767,938,880 with Prime Factorization


2 961, 144, 767, 938, 880
2 961, 72, 767, 469, 440
2 961, 36, 767, 469, 220
2 961, 18, 767, 469, 110
961, 9, 767, 469, 55

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

2 x 2 x 2 x 2 x 961 x 9 x 767 x 469 x 55 = 2737894919760

Therefore, the lowest common multiple of 961,144,767,938,880 is 2737894919760.

LCM Formula to Find Lowest Common Multiple of 961,144,767,938,880

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.

961 x 144 x 767 x 938 x 880 = 87612637432320

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.

961 : 1, 31, 961

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

767 : 1, 13, 59, 767

938 : 1, 2, 7, 14, 67, 134, 469, 938

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 961,144,767,938,880, is 1.

Now, the common factors can be found like this.

961:31x 31

144:2x 2x 2x 2x 3x 3

767:13x 59

938:2x 7x 67

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 2 = 32

Therefore, the value for common factors is 32.

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 = 87612637432320/(1x32)

LCM = 87612637432320/32

LCM = 2737894919760

Thus, we can understand that the LCM of 961,144,767,938,880 is 2737894919760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 144, 767, 938, 880

1. What is the LCM of 961, 144, 767, 938, 880?

Answer: LCM of 961, 144, 767, 938, 880 is 2737894919760.

2. How to calculate the LCM of 961, 144, 767, 938, 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 961, 144, 767, 938, 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}.