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LCM of 739, 533, 656, 994

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


Find the LCM of 739, 533, 656, 994 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 739, 533, 656, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 739,533,656,994

Given numbers are 739,533,656,994

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

The LCM of 739,533,656,994 is 3132189424.

Find LCM of 739,533,656,994 with Prime Factorization


2 739, 533, 656, 994
41 739, 533, 328, 497
739, 13, 8, 497

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

2 x 41 x 739 x 13 x 8 x 497 = 3132189424

Therefore, the lowest common multiple of 739,533,656,994 is 3132189424.

LCM Formula to Find Lowest Common Multiple of 739,533,656,994

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.

739 x 533 x 656 x 994 = 256839532768

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.

739 : 1, 739

533 : 1, 13, 41, 533

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,533,656,994, is 1.

Now, the common factors can be found like this.

739:739

533:13x 41

656:2x 2x 2x 2x 41

994:2x 7x 71

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

2x 41 = 82

Therefore, the value for common factors is 82.

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 = 256839532768/(1x82)

LCM = 256839532768/82

LCM = 3132189424

Thus, we can understand that the LCM of 739,533,656,994 is 3132189424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 739, 533, 656, 994

1. What is the LCM of 739, 533, 656, 994?

Answer: LCM of 739, 533, 656, 994 is 3132189424.

2. How to calculate the LCM of 739, 533, 656, 994?

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 739, 533, 656, 994.

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}.