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LCM of 361, 701, 834, 973

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


Find the LCM of 361, 701, 834, 973 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 361, 701, 834, 973. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,701,834,973

Given numbers are 361,701,834,973

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

The LCM of 361,701,834,973 is 1477370118.

Find LCM of 361,701,834,973 with Prime Factorization


139 361, 701, 834, 973
361, 701, 6, 7

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

139 x 361 x 701 x 6 x 7 = 1477370118

Therefore, the lowest common multiple of 361,701,834,973 is 1477370118.

LCM Formula to Find Lowest Common Multiple of 361,701,834,973

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.

361 x 701 x 834 x 973 = 205354446402

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.

361 : 1, 19, 361

701 : 1, 701

834 : 1, 2, 3, 6, 139, 278, 417, 834

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,701,834,973, is 1.

Now, the common factors can be found like this.

361:19x 19

701:701

834:2x 3x 139

973:7x 139

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

139 = 139

Therefore, the value for common factors is 139.

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 = 205354446402/(1x139)

LCM = 205354446402/139

LCM = 1477370118

Thus, we can understand that the LCM of 361,701,834,973 is 1477370118.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 701, 834, 973

1. What is the LCM of 361, 701, 834, 973?

Answer: LCM of 361, 701, 834, 973 is 1477370118.

2. How to calculate the LCM of 361, 701, 834, 973?

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 361, 701, 834, 973.

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}.