Least Common Multiple of 345, 276, 780

Q: How to Find the LCM of 345, 276, 780 ?

Least Common Multiple of 345, 276, 780 = 17940 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(345, 276, 780) = 2 x 2 x 3 x 5 x 13 x 23 = 17940.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 345, 276, 780 i.e. 17940 smallest integer divisible by all numbers.

Least common multiple (LCM) of 345, 276, 780 is 17940.

LCM(345, 276, 780) = 17940

LCM of 345, 276, 780

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 345, 276, 780 by common division method
Least Common Multiple of 345, 276, 780 with GCF Formula

Least Common Multiple of 345,276,780

Least Common Multiple (LCM) of 345,276,780 is 17940

2	345, 276, 780
2	345, 138, 390
3	345, 69, 195
5	115, 23, 65
23	23, 23, 13
	1, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 1 x 1 x 13 = 17940

Least Common Multiple of 345,276,780 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 345,276,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,276,780) = 3

common factors(in case of two or more numbers have common factors) = 1380

GCF(345,276,780) x common factors =3 x 1380 = 4140

LCM(345,276,780) = ( 345 × 276 × 780 ) / 4140

LCM(345,276,780) = 74271600 / 4140

LCM(345,276,780) = 17940

∴ Least Common Multiple of 345,276,780 is 17940

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 345, 276, 780

1. What is the LCM of 345, 276, 780?

Answer: LCM of 345, 276, 780 is 17940.

2. What are the Factors of 17940?

Answer: Factors of 17940 are . There are integers that are factors of 17940

3. How to Find the LCM of 345, 276, 780 ?

Least Common Multiple of 345, 276, 780.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(345, 276, 780) = 2 x 2 x 3 x 5 x 13 x 23 = 17940.