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LCM of 242, 973, 278, 435

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


Find the LCM of 242, 973, 278, 435 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 242, 973, 278, 435. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,973,278,435

Given numbers are 242,973,278,435

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

The LCM of 242,973,278,435 is 102427710.

Find LCM of 242,973,278,435 with Prime Factorization


2 242, 973, 278, 435
139 121, 973, 139, 435
121, 7, 1, 435

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

2 x 139 x 121 x 7 x 1 x 435 = 102427710

Therefore, the lowest common multiple of 242,973,278,435 is 102427710.

LCM Formula to Find Lowest Common Multiple of 242,973,278,435

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.

242 x 973 x 278 x 435 = 28474903380

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.

242 : 1, 2, 11, 22, 121, 242

973 : 1, 7, 139, 973

278 : 1, 2, 139, 278

435 : 1, 3, 5, 15, 29, 87, 145, 435

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,973,278,435, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

973:7x 139

278:2x 139

435:3x 5x 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 139 = 278

Therefore, the value for common factors is 278.

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 = 28474903380/(1x278)

LCM = 28474903380/278

LCM = 102427710

Thus, we can understand that the LCM of 242,973,278,435 is 102427710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 973, 278, 435

1. What is the LCM of 242, 973, 278, 435?

Answer: LCM of 242, 973, 278, 435 is 102427710.

2. How to calculate the LCM of 242, 973, 278, 435?

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 242, 973, 278, 435.

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}.