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LCM of 2350, 9740

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


Find the LCM of 2350, 9740 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 2350, 9740. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2350,9740

Given numbers are 2350,9740

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

The LCM of 2350,9740 is 2288900.

Find LCM of 2350,9740 with Prime Factorization


2 2350, 9740
5 1175, 4870
235, 974

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

2 x 5 x 235 x 974 = 2288900

Therefore, the lowest common multiple of 2350,9740 is 2288900.

LCM Formula to Find Lowest Common Multiple of 2350,9740

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.

2350 x 9740 = 22889000

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.

2350 : 1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350

9740 : 1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740

10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2350,9740, is 10.

Now, the common factors can be found like this.

2350:2x 5x 5x 47

9740:2x 2x 5x 487

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

= 1

Therefore, the value for common factors is 1.

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 = 22889000/(10x1)

LCM = 22889000/10

LCM = 2288900

Thus, we can understand that the LCM of 2350,9740 is 2288900.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2350, 9740

1. What is the LCM of 2350, 9740?

Answer: LCM of 2350, 9740 is 2288900.

2. How to calculate the LCM of 2350, 9740?

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 2350, 9740.

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}.