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LCM of 747, 237, 553, 374

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


Find the LCM of 747, 237, 553, 374 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 747, 237, 553, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,237,553,374

Given numbers are 747,237,553,374

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

The LCM of 747,237,553,374 is 154496034.

Find LCM of 747,237,553,374 with Prime Factorization


3 747, 237, 553, 374
79 249, 79, 553, 374
249, 1, 7, 374

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

3 x 79 x 249 x 1 x 7 x 374 = 154496034

Therefore, the lowest common multiple of 747,237,553,374 is 154496034.

LCM Formula to Find Lowest Common Multiple of 747,237,553,374

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.

747 x 237 x 553 x 374 = 36615560058

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.

747 : 1, 3, 9, 83, 249, 747

237 : 1, 3, 79, 237

553 : 1, 7, 79, 553

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,237,553,374, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

237:3x 79

553:7x 79

374:2x 11x 17

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

3x 79 = 237

Therefore, the value for common factors is 237.

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 = 36615560058/(1x237)

LCM = 36615560058/237

LCM = 154496034

Thus, we can understand that the LCM of 747,237,553,374 is 154496034.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 237, 553, 374

1. What is the LCM of 747, 237, 553, 374?

Answer: LCM of 747, 237, 553, 374 is 154496034.

2. How to calculate the LCM of 747, 237, 553, 374?

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 747, 237, 553, 374.

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}.