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LCM of 967, 654, 332, 469

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


Find the LCM of 967, 654, 332, 469 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 967, 654, 332, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,654,332,469

Given numbers are 967,654,332,469

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

The LCM of 967,654,332,469 is 49236270972.

Find LCM of 967,654,332,469 with Prime Factorization


2 967, 654, 332, 469
967, 327, 166, 469

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

2 x 967 x 327 x 166 x 469 = 49236270972

Therefore, the lowest common multiple of 967,654,332,469 is 49236270972.

LCM Formula to Find Lowest Common Multiple of 967,654,332,469

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.

967 x 654 x 332 x 469 = 98472541944

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.

967 : 1, 967

654 : 1, 2, 3, 6, 109, 218, 327, 654

332 : 1, 2, 4, 83, 166, 332

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,654,332,469, is 1.

Now, the common factors can be found like this.

967:967

654:2x 3x 109

332:2x 2x 83

469:7x 67

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

2 = 2

Therefore, the value for common factors is 2.

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 = 98472541944/(1x2)

LCM = 98472541944/2

LCM = 49236270972

Thus, we can understand that the LCM of 967,654,332,469 is 49236270972.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 654, 332, 469

1. What is the LCM of 967, 654, 332, 469?

Answer: LCM of 967, 654, 332, 469 is 49236270972.

2. How to calculate the LCM of 967, 654, 332, 469?

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 967, 654, 332, 469.

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}.