Least Common Multiple of 28, 14, 34, 292

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 28, 14, 34, 292 i.e. 34748 smallest integer divisible by all numbers.

Least common multiple (LCM) of 28, 14, 34, 292 is 34748.

LCM(28, 14, 34, 292) = 34748

LCM of 28, 14, 34, 292

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

LCM of:

Least Common Multiple of 28,14,34,292

Least Common Multiple (LCM) of 28,14,34,292 is 34748

2 28, 14, 34, 292
2 14, 7, 17, 146
7 7, 7, 17, 73
1, 1, 17, 73

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 1 x 17 x 73 = 34748

Least Common Multiple of 28,14,34,292 with GCF Formula

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

We need to calculate greatest common factor of 28,14,34,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,14,34,292) = 2

common factors(in case of two or more numbers have common factors) = 56

GCF(28,14,34,292) x common factors =2 x 56 = 112

LCM(28,14,34,292) = ( 28 × 14 × 34 × 292 ) / 112

LCM(28,14,34,292) = 3891776 / 112

LCM(28,14,34,292) = 34748

∴ Least Common Multiple of 28,14,34,292 is 34748

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 28, 14, 34, 292

1. What is the LCM of 28, 14, 34, 292?

Answer: LCM of 28, 14, 34, 292 is 34748.

2. What are the Factors of 34748?

Answer: Factors of 34748 are . There are integers that are factors of 34748

3. How to Find the LCM of 28, 14, 34, 292 ?

Least Common Multiple of 28, 14, 34, 292.

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(28, 14, 34, 292) = 2 x 2 x 7 x 17 x 73 = 34748.