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LCM of 686, 157, 838, 938, 880

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


Find the LCM of 686, 157, 838, 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 686, 157, 838, 938, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,157,838,938,880

Given numbers are 686,157,838,938,880

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

The LCM of 686,157,838,938,880 is 1330348028240.

Find LCM of 686,157,838,938,880 with Prime Factorization


2 686, 157, 838, 938, 880
7 343, 157, 419, 469, 440
49, 157, 419, 67, 440

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

2 x 7 x 49 x 157 x 419 x 67 x 440 = 1330348028240

Therefore, the lowest common multiple of 686,157,838,938,880 is 1330348028240.

LCM Formula to Find Lowest Common Multiple of 686,157,838,938,880

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.

686 x 157 x 838 x 938 x 880 = 74499489581440

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

157 : 1, 157

838 : 1, 2, 419, 838

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 686,157,838,938,880, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

157:157

838:2x 419

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 7 = 56

Therefore, the value for common factors is 56.

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 = 74499489581440/(1x56)

LCM = 74499489581440/56

LCM = 1330348028240

Thus, we can understand that the LCM of 686,157,838,938,880 is 1330348028240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 157, 838, 938, 880

1. What is the LCM of 686, 157, 838, 938, 880?

Answer: LCM of 686, 157, 838, 938, 880 is 1330348028240.

2. How to calculate the LCM of 686, 157, 838, 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 686, 157, 838, 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}.