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LCM of 176, 128, 931, 931

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


Find the LCM of 176, 128, 931, 931 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 176, 128, 931, 931. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 176,128,931,931

Given numbers are 176,128,931,931

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

The LCM of 176,128,931,931 is 1310848.

Find LCM of 176,128,931,931 with Prime Factorization


2 176, 128, 931, 931
2 88, 64, 931, 931
2 44, 32, 931, 931
2 22, 16, 931, 931
7 11, 8, 931, 931
7 11, 8, 133, 133
19 11, 8, 19, 19
11, 8, 1, 1

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

2 x 2 x 2 x 2 x 7 x 7 x 19 x 11 x 8 x 1 x 1 = 1310848

Therefore, the lowest common multiple of 176,128,931,931 is 1310848.

LCM Formula to Find Lowest Common Multiple of 176,128,931,931

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.

176 x 128 x 931 x 931 = 19526391808

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.

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

128 : 1, 2, 4, 8, 16, 32, 64, 128

931 : 1, 7, 19, 49, 133, 931

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,128,931,931, is 1.

Now, the common factors can be found like this.

176:2x 2x 2x 2x 11

128:2x 2x 2x 2x 2x 2x 2

931:7x 7x 19

931:7x 7x 19

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 7x 19 = 14896

Therefore, the value for common factors is 14896.

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 = 19526391808/(1x14896)

LCM = 19526391808/14896

LCM = 1310848

Thus, we can understand that the LCM of 176,128,931,931 is 1310848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 176, 128, 931, 931

1. What is the LCM of 176, 128, 931, 931?

Answer: LCM of 176, 128, 931, 931 is 1310848.

2. How to calculate the LCM of 176, 128, 931, 931?

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 176, 128, 931, 931.

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}.