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LCM of 305, 973, 134, 274

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


Find the LCM of 305, 973, 134, 274 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 305, 973, 134, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,973,134,274

Given numbers are 305,973,134,274

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

The LCM of 305,973,134,274 is 5448011870.

Find LCM of 305,973,134,274 with Prime Factorization


2 305, 973, 134, 274
305, 973, 67, 137

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

2 x 305 x 973 x 67 x 137 = 5448011870

Therefore, the lowest common multiple of 305,973,134,274 is 5448011870.

LCM Formula to Find Lowest Common Multiple of 305,973,134,274

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.

305 x 973 x 134 x 274 = 10896023740

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.

305 : 1, 5, 61, 305

973 : 1, 7, 139, 973

134 : 1, 2, 67, 134

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,973,134,274, is 1.

Now, the common factors can be found like this.

305:5x 61

973:7x 139

134:2x 67

274:2x 137

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

2 = 2

Therefore, the value for common factors is 2.

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 = 10896023740/(1x2)

LCM = 10896023740/2

LCM = 5448011870

Thus, we can understand that the LCM of 305,973,134,274 is 5448011870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 973, 134, 274

1. What is the LCM of 305, 973, 134, 274?

Answer: LCM of 305, 973, 134, 274 is 5448011870.

2. How to calculate the LCM of 305, 973, 134, 274?

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 305, 973, 134, 274.

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}.