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LCM of 956, 984, 601, 716

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


Find the LCM of 956, 984, 601, 716 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 956, 984, 601, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 956,984,601,716

Given numbers are 956,984,601,716

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

The LCM of 956,984,601,716 is 25299998904.

Find LCM of 956,984,601,716 with Prime Factorization


2 956, 984, 601, 716
2 478, 492, 601, 358
239, 246, 601, 179

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

2 x 2 x 239 x 246 x 601 x 179 = 25299998904

Therefore, the lowest common multiple of 956,984,601,716 is 25299998904.

LCM Formula to Find Lowest Common Multiple of 956,984,601,716

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.

956 x 984 x 601 x 716 = 404799982464

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.

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

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

601 : 1, 601

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,984,601,716, is 1.

Now, the common factors can be found like this.

956:2x 2x 239

984:2x 2x 2x 3x 41

601:601

716:2x 2x 179

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 2 = 16

Therefore, the value for common factors is 16.

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 = 404799982464/(1x16)

LCM = 404799982464/16

LCM = 25299998904

Thus, we can understand that the LCM of 956,984,601,716 is 25299998904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 956, 984, 601, 716

1. What is the LCM of 956, 984, 601, 716?

Answer: LCM of 956, 984, 601, 716 is 25299998904.

2. How to calculate the LCM of 956, 984, 601, 716?

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 956, 984, 601, 716.

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}.