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LCM of 703, 942, 754, 724, 491

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


Find the LCM of 703, 942, 754, 724, 491 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 703, 942, 754, 724, 491. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,942,754,724,491

Given numbers are 703,942,754,724,491

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

The LCM of 703,942,754,724,491 is 44374925881884.

Find LCM of 703,942,754,724,491 with Prime Factorization


2 703, 942, 754, 724, 491
703, 471, 377, 362, 491

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

2 x 703 x 471 x 377 x 362 x 491 = 44374925881884

Therefore, the lowest common multiple of 703,942,754,724,491 is 44374925881884.

LCM Formula to Find Lowest Common Multiple of 703,942,754,724,491

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.

703 x 942 x 754 x 724 x 491 = 177499703527536

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.

703 : 1, 19, 37, 703

942 : 1, 2, 3, 6, 157, 314, 471, 942

754 : 1, 2, 13, 26, 29, 58, 377, 754

724 : 1, 2, 4, 181, 362, 724

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,942,754,724,491, is 1.

Now, the common factors can be found like this.

703:19x 37

942:2x 3x 157

754:2x 13x 29

724:2x 2x 181

491:491

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 177499703527536/(1x4)

LCM = 177499703527536/4

LCM = 44374925881884

Thus, we can understand that the LCM of 703,942,754,724,491 is 44374925881884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 942, 754, 724, 491

1. What is the LCM of 703, 942, 754, 724, 491?

Answer: LCM of 703, 942, 754, 724, 491 is 44374925881884.

2. How to calculate the LCM of 703, 942, 754, 724, 491?

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 703, 942, 754, 724, 491.

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}.