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LCM of 979, 110, 169, 402

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


Find the LCM of 979, 110, 169, 402 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, 110, 169, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 979,110,169,402

Given numbers are 979,110,169,402

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

The LCM of 979,110,169,402 is 332556510.

Find LCM of 979,110,169,402 with Prime Factorization


2 979, 110, 169, 402
11 979, 55, 169, 201
89, 5, 169, 201

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

2 x 11 x 89 x 5 x 169 x 201 = 332556510

Therefore, the lowest common multiple of 979,110,169,402 is 332556510.

LCM Formula to Find Lowest Common Multiple of 979,110,169,402

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 110 x 169 x 402 = 7316243220

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

169 : 1, 13, 169

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,110,169,402, is 1.

Now, the common factors can be found like this.

979:11x 89

110:2x 5x 11

169:13x 13

402:2x 3x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 7316243220/(1x22)

LCM = 7316243220/22

LCM = 332556510

Thus, we can understand that the LCM of 979,110,169,402 is 332556510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 979, 110, 169, 402

1. What is the LCM of 979, 110, 169, 402?

Answer: LCM of 979, 110, 169, 402 is 332556510.

2. How to calculate the LCM of 979, 110, 169, 402?

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, 110, 169, 402.

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}.