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LCM of 169, 197, 741, 724, 970

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


Find the LCM of 169, 197, 741, 724, 970 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 169, 197, 741, 724, 970. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,197,741,724,970

Given numbers are 169,197,741,724,970

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

The LCM of 169,197,741,724,970 is 666358729140.

Find LCM of 169,197,741,724,970 with Prime Factorization


2 169, 197, 741, 724, 970
13 169, 197, 741, 362, 485
13, 197, 57, 362, 485

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

2 x 13 x 13 x 197 x 57 x 362 x 485 = 666358729140

Therefore, the lowest common multiple of 169,197,741,724,970 is 666358729140.

LCM Formula to Find Lowest Common Multiple of 169,197,741,724,970

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.

169 x 197 x 741 x 724 x 970 = 17325326957640

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.

169 : 1, 13, 169

197 : 1, 197

741 : 1, 3, 13, 19, 39, 57, 247, 741

724 : 1, 2, 4, 181, 362, 724

970 : 1, 2, 5, 10, 97, 194, 485, 970

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,197,741,724,970, is 1.

Now, the common factors can be found like this.

169:13x 13

197:197

741:3x 13x 19

724:2x 2x 181

970:2x 5x 97

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 17325326957640/(1x26)

LCM = 17325326957640/26

LCM = 666358729140

Thus, we can understand that the LCM of 169,197,741,724,970 is 666358729140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 197, 741, 724, 970

1. What is the LCM of 169, 197, 741, 724, 970?

Answer: LCM of 169, 197, 741, 724, 970 is 666358729140.

2. How to calculate the LCM of 169, 197, 741, 724, 970?

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 169, 197, 741, 724, 970.

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}.