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LCM of 234, 749, 274, 428

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


Find the LCM of 234, 749, 274, 428 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 234, 749, 274, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 234,749,274,428

Given numbers are 234,749,274,428

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

The LCM of 234,749,274,428 is 48022884.

Find LCM of 234,749,274,428 with Prime Factorization


2 234, 749, 274, 428
107 117, 749, 137, 214
117, 7, 137, 2

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

2 x 107 x 117 x 7 x 137 x 2 = 48022884

Therefore, the lowest common multiple of 234,749,274,428 is 48022884.

LCM Formula to Find Lowest Common Multiple of 234,749,274,428

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.

234 x 749 x 274 x 428 = 20553794352

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

749 : 1, 7, 107, 749

274 : 1, 2, 137, 274

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,749,274,428, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

749:7x 107

274:2x 137

428:2x 2x 107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 20553794352/(1x428)

LCM = 20553794352/428

LCM = 48022884

Thus, we can understand that the LCM of 234,749,274,428 is 48022884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 234, 749, 274, 428

1. What is the LCM of 234, 749, 274, 428?

Answer: LCM of 234, 749, 274, 428 is 48022884.

2. How to calculate the LCM of 234, 749, 274, 428?

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 234, 749, 274, 428.

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}.