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LCM of 986, 737, 943, 402

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


Find the LCM of 986, 737, 943, 402 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 986, 737, 943, 402. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,737,943,402

Given numbers are 986,737,943,402

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

The LCM of 986,737,943,402 is 2055783378.

Find LCM of 986,737,943,402 with Prime Factorization


2 986, 737, 943, 402
67 493, 737, 943, 201
493, 11, 943, 3

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

2 x 67 x 493 x 11 x 943 x 3 = 2055783378

Therefore, the lowest common multiple of 986,737,943,402 is 2055783378.

LCM Formula to Find Lowest Common Multiple of 986,737,943,402

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.

986 x 737 x 943 x 402 = 275474972652

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

737 : 1, 11, 67, 737

943 : 1, 23, 41, 943

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,737,943,402, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

737:11x 67

943:23x 41

402:2x 3x 67

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 275474972652/(1x134)

LCM = 275474972652/134

LCM = 2055783378

Thus, we can understand that the LCM of 986,737,943,402 is 2055783378.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 737, 943, 402

1. What is the LCM of 986, 737, 943, 402?

Answer: LCM of 986, 737, 943, 402 is 2055783378.

2. How to calculate the LCM of 986, 737, 943, 402?

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 986, 737, 943, 402.

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}.