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LCM of 274, 737, 236, 442

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


Find the LCM of 274, 737, 236, 442 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 274, 737, 236, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 274,737,236,442

Given numbers are 274,737,236,442

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

The LCM of 274,737,236,442 is 5266139164.

Find LCM of 274,737,236,442 with Prime Factorization


2 274, 737, 236, 442
137, 737, 118, 221

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

2 x 137 x 737 x 118 x 221 = 5266139164

Therefore, the lowest common multiple of 274,737,236,442 is 5266139164.

LCM Formula to Find Lowest Common Multiple of 274,737,236,442

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.

274 x 737 x 236 x 442 = 21064556656

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.

274 : 1, 2, 137, 274

737 : 1, 11, 67, 737

236 : 1, 2, 4, 59, 118, 236

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,737,236,442, is 1.

Now, the common factors can be found like this.

274:2x 137

737:11x 67

236:2x 2x 59

442:2x 13x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21064556656/(1x4)

LCM = 21064556656/4

LCM = 5266139164

Thus, we can understand that the LCM of 274,737,236,442 is 5266139164.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 274, 737, 236, 442

1. What is the LCM of 274, 737, 236, 442?

Answer: LCM of 274, 737, 236, 442 is 5266139164.

2. How to calculate the LCM of 274, 737, 236, 442?

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 274, 737, 236, 442.

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}.