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LCM of 702, 594, 314, 377

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


Find the LCM of 702, 594, 314, 377 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 702, 594, 314, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,594,314,377

Given numbers are 702,594,314,377

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

The LCM of 702,594,314,377 is 35158266.

Find LCM of 702,594,314,377 with Prime Factorization


2 702, 594, 314, 377
3 351, 297, 157, 377
3 117, 99, 157, 377
3 39, 33, 157, 377
13 13, 11, 157, 377
1, 11, 157, 29

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

2 x 3 x 3 x 3 x 13 x 1 x 11 x 157 x 29 = 35158266

Therefore, the lowest common multiple of 702,594,314,377 is 35158266.

LCM Formula to Find Lowest Common Multiple of 702,594,314,377

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.

702 x 594 x 314 x 377 = 49362205464

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

314 : 1, 2, 157, 314

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,594,314,377, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

594:2x 3x 3x 3x 11

314:2x 157

377:13x 29

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 3x 3x 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 49362205464/(1x1404)

LCM = 49362205464/1404

LCM = 35158266

Thus, we can understand that the LCM of 702,594,314,377 is 35158266.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 594, 314, 377

1. What is the LCM of 702, 594, 314, 377?

Answer: LCM of 702, 594, 314, 377 is 35158266.

2. How to calculate the LCM of 702, 594, 314, 377?

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 702, 594, 314, 377.

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}.