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LCM of 979, 177, 154, 402, 580

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


Find the LCM of 979, 177, 154, 402, 580 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 979, 177, 154, 402, 580. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,177,154,402,580

Given numbers are 979,177,154,402,580

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

The LCM of 979,177,154,402,580 is 47136441660.

Find LCM of 979,177,154,402,580 with Prime Factorization


2 979, 177, 154, 402, 580
3 979, 177, 77, 201, 290
11 979, 59, 77, 67, 290
89, 59, 7, 67, 290

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

2 x 3 x 11 x 89 x 59 x 7 x 67 x 290 = 47136441660

Therefore, the lowest common multiple of 979,177,154,402,580 is 47136441660.

LCM Formula to Find Lowest Common Multiple of 979,177,154,402,580

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.

979 x 177 x 154 x 402 x 580 = 6222010299120

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.

979 : 1, 11, 89, 979

177 : 1, 3, 59, 177

154 : 1, 2, 7, 11, 14, 22, 77, 154

402 : 1, 2, 3, 6, 67, 134, 201, 402

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,177,154,402,580, is 1.

Now, the common factors can be found like this.

979:11x 89

177:3x 59

154:2x 7x 11

402:2x 3x 67

580:2x 2x 5x 29

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 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 6222010299120/(1x132)

LCM = 6222010299120/132

LCM = 47136441660

Thus, we can understand that the LCM of 979,177,154,402,580 is 47136441660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 177, 154, 402, 580

1. What is the LCM of 979, 177, 154, 402, 580?

Answer: LCM of 979, 177, 154, 402, 580 is 47136441660.

2. How to calculate the LCM of 979, 177, 154, 402, 580?

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 979, 177, 154, 402, 580.

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}.