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LCM of 771, 193, 535, 749

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


Find the LCM of 771, 193, 535, 749 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 771, 193, 535, 749. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,193,535,749

Given numbers are 771,193,535,749

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

The LCM of 771,193,535,749 is 557267235.

Find LCM of 771,193,535,749 with Prime Factorization


107 771, 193, 535, 749
771, 193, 5, 7

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

107 x 771 x 193 x 5 x 7 = 557267235

Therefore, the lowest common multiple of 771,193,535,749 is 557267235.

LCM Formula to Find Lowest Common Multiple of 771,193,535,749

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.

771 x 193 x 535 x 749 = 59627594145

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.

771 : 1, 3, 257, 771

193 : 1, 193

535 : 1, 5, 107, 535

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,193,535,749, is 1.

Now, the common factors can be found like this.

771:3x 257

193:193

535:5x 107

749:7x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 59627594145/(1x107)

LCM = 59627594145/107

LCM = 557267235

Thus, we can understand that the LCM of 771,193,535,749 is 557267235.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 193, 535, 749

1. What is the LCM of 771, 193, 535, 749?

Answer: LCM of 771, 193, 535, 749 is 557267235.

2. How to calculate the LCM of 771, 193, 535, 749?

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 771, 193, 535, 749.

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}.