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LCM of 118, 716, 177, 779, 230

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


Find the LCM of 118, 716, 177, 779, 230 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 118, 716, 177, 779, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 118,716,177,779,230

Given numbers are 118,716,177,779,230

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

The LCM of 118,716,177,779,230 is 11353286220.

Find LCM of 118,716,177,779,230 with Prime Factorization


2 118, 716, 177, 779, 230
59 59, 358, 177, 779, 115
1, 358, 3, 779, 115

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

2 x 59 x 1 x 358 x 3 x 779 x 115 = 11353286220

Therefore, the lowest common multiple of 118,716,177,779,230 is 11353286220.

LCM Formula to Find Lowest Common Multiple of 118,716,177,779,230

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.

118 x 716 x 177 x 779 x 230 = 2679375547920

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.

118 : 1, 2, 59, 118

716 : 1, 2, 4, 179, 358, 716

177 : 1, 3, 59, 177

779 : 1, 19, 41, 779

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,716,177,779,230, is 1.

Now, the common factors can be found like this.

118:2x 59

716:2x 2x 179

177:3x 59

779:19x 41

230:2x 5x 23

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 59 = 236

Therefore, the value for common factors is 236.

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 = 2679375547920/(1x236)

LCM = 2679375547920/236

LCM = 11353286220

Thus, we can understand that the LCM of 118,716,177,779,230 is 11353286220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 118, 716, 177, 779, 230

1. What is the LCM of 118, 716, 177, 779, 230?

Answer: LCM of 118, 716, 177, 779, 230 is 11353286220.

2. How to calculate the LCM of 118, 716, 177, 779, 230?

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 118, 716, 177, 779, 230.

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}.