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LCM of 737, 741, 482, 840

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


Find the LCM of 737, 741, 482, 840 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 737, 741, 482, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,741,482,840

Given numbers are 737,741,482,840

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

The LCM of 737,741,482,840 is 36851975160.

Find LCM of 737,741,482,840 with Prime Factorization


2 737, 741, 482, 840
3 737, 741, 241, 420
737, 247, 241, 140

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

2 x 3 x 737 x 247 x 241 x 140 = 36851975160

Therefore, the lowest common multiple of 737,741,482,840 is 36851975160.

LCM Formula to Find Lowest Common Multiple of 737,741,482,840

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.

737 x 741 x 482 x 840 = 221111850960

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.

737 : 1, 11, 67, 737

741 : 1, 3, 13, 19, 39, 57, 247, 741

482 : 1, 2, 241, 482

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,741,482,840, is 1.

Now, the common factors can be found like this.

737:11x 67

741:3x 13x 19

482:2x 241

840:2x 2x 2x 3x 5x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 221111850960/(1x6)

LCM = 221111850960/6

LCM = 36851975160

Thus, we can understand that the LCM of 737,741,482,840 is 36851975160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 741, 482, 840

1. What is the LCM of 737, 741, 482, 840?

Answer: LCM of 737, 741, 482, 840 is 36851975160.

2. How to calculate the LCM of 737, 741, 482, 840?

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 737, 741, 482, 840.

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}.