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LCM of 762, 598, 678, 335

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


Find the LCM of 762, 598, 678, 335 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 762, 598, 678, 335. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 762,598,678,335

Given numbers are 762,598,678,335

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

The LCM of 762,598,678,335 is 8624807490.

Find LCM of 762,598,678,335 with Prime Factorization


2 762, 598, 678, 335
3 381, 299, 339, 335
127, 299, 113, 335

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

2 x 3 x 127 x 299 x 113 x 335 = 8624807490

Therefore, the lowest common multiple of 762,598,678,335 is 8624807490.

LCM Formula to Find Lowest Common Multiple of 762,598,678,335

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.

762 x 598 x 678 x 335 = 103497689880

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

598 : 1, 2, 13, 23, 26, 46, 299, 598

678 : 1, 2, 3, 6, 113, 226, 339, 678

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,598,678,335, is 1.

Now, the common factors can be found like this.

762:2x 3x 127

598:2x 13x 23

678:2x 3x 113

335:5x 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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 103497689880/(1x12)

LCM = 103497689880/12

LCM = 8624807490

Thus, we can understand that the LCM of 762,598,678,335 is 8624807490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 762, 598, 678, 335

1. What is the LCM of 762, 598, 678, 335?

Answer: LCM of 762, 598, 678, 335 is 8624807490.

2. How to calculate the LCM of 762, 598, 678, 335?

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 762, 598, 678, 335.

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}.