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LCM of 247, 961, 140, 212

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


Find the LCM of 247, 961, 140, 212 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 247, 961, 140, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,961,140,212

Given numbers are 247,961,140,212

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

The LCM of 247,961,140,212 is 1761263140.

Find LCM of 247,961,140,212 with Prime Factorization


2 247, 961, 140, 212
2 247, 961, 70, 106
247, 961, 35, 53

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

2 x 2 x 247 x 961 x 35 x 53 = 1761263140

Therefore, the lowest common multiple of 247,961,140,212 is 1761263140.

LCM Formula to Find Lowest Common Multiple of 247,961,140,212

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.

247 x 961 x 140 x 212 = 7045052560

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.

247 : 1, 13, 19, 247

961 : 1, 31, 961

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

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,961,140,212, is 1.

Now, the common factors can be found like this.

247:13x 19

961:31x 31

140:2x 2x 5x 7

212:2x 2x 53

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 = 7045052560/(1x4)

LCM = 7045052560/4

LCM = 1761263140

Thus, we can understand that the LCM of 247,961,140,212 is 1761263140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 961, 140, 212

1. What is the LCM of 247, 961, 140, 212?

Answer: LCM of 247, 961, 140, 212 is 1761263140.

2. How to calculate the LCM of 247, 961, 140, 212?

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 247, 961, 140, 212.

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}.