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LCM of 296, 984, 956, 668, 956

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


Find the LCM of 296, 984, 956, 668, 956 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 296, 984, 956, 668, 956. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 296,984,956,668,956

Given numbers are 296,984,956,668,956

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

The LCM of 296,984,956,668,956 is 1453152504.

Find LCM of 296,984,956,668,956 with Prime Factorization


2 296, 984, 956, 668, 956
2 148, 492, 478, 334, 478
2 74, 246, 239, 167, 239
239 37, 123, 239, 167, 239
37, 123, 1, 167, 1

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

2 x 2 x 2 x 239 x 37 x 123 x 1 x 167 x 1 = 1453152504

Therefore, the lowest common multiple of 296,984,956,668,956 is 1453152504.

LCM Formula to Find Lowest Common Multiple of 296,984,956,668,956

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.

296 x 984 x 956 x 668 x 956 = 177819365609472

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

956 : 1, 2, 4, 239, 478, 956

668 : 1, 2, 4, 167, 334, 668

956 : 1, 2, 4, 239, 478, 956

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,984,956,668,956, is 4.

Now, the common factors can be found like this.

296:2x 2x 2x 37

984:2x 2x 2x 3x 41

956:2x 2x 239

668:2x 2x 167

956:2x 2x 239

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

2x 2x 2x 2x 2x 2x 2x 239 = 30592

Therefore, the value for common factors is 30592.

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 = 177819365609472/(4x30592)

LCM = 177819365609472/122368

LCM = 1453152504

Thus, we can understand that the LCM of 296,984,956,668,956 is 1453152504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 296, 984, 956, 668, 956

1. What is the LCM of 296, 984, 956, 668, 956?

Answer: LCM of 296, 984, 956, 668, 956 is 1453152504.

2. How to calculate the LCM of 296, 984, 956, 668, 956?

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 296, 984, 956, 668, 956.

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}.