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LCM of 234, 505, 140, 337

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


Find the LCM of 234, 505, 140, 337 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 234, 505, 140, 337. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,505,140,337

Given numbers are 234,505,140,337

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

The LCM of 234,505,140,337 is 557526060.

Find LCM of 234,505,140,337 with Prime Factorization


2 234, 505, 140, 337
5 117, 505, 70, 337
117, 101, 14, 337

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

2 x 5 x 117 x 101 x 14 x 337 = 557526060

Therefore, the lowest common multiple of 234,505,140,337 is 557526060.

LCM Formula to Find Lowest Common Multiple of 234,505,140,337

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.

234 x 505 x 140 x 337 = 5575260600

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

505 : 1, 5, 101, 505

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,505,140,337, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

505:5x 101

140:2x 2x 5x 7

337:337

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 5575260600/(1x10)

LCM = 5575260600/10

LCM = 557526060

Thus, we can understand that the LCM of 234,505,140,337 is 557526060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 505, 140, 337

1. What is the LCM of 234, 505, 140, 337?

Answer: LCM of 234, 505, 140, 337 is 557526060.

2. How to calculate the LCM of 234, 505, 140, 337?

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 234, 505, 140, 337.

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}.