Least Common Multiple of 2574/852, 1573/3472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2574/852, 1573/3472 quickly i.e. 28314/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2574/852, 1573/3472 is 28314/4.

LCM(2574/852, 1573/3472) = 28314/4

LCM of 2574/852, 1573/3472

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 2574/852,1573/3472

Given numbers are 2574/852,1573/3472

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 2574,1573

Least Common Multiple of Numerators i.e. LCM of 2574,1573 is 28314.

GCF of Denominators means GCF of 852,3472 as per the given fractions.

GCF of 852,3472 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2574,1573

LCM of Fractions 2574/852,1573/3472 is 28314/4

11 2574, 1573
13 234, 143
18, 11

∴ So the LCM of the given numbers is 11 x 13 x 18 x 11 = 28314

Least Common Multiple of 2574,1573 with GCF Formula

Least Common Multiple of 2574,1573 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 2574,1573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2574,1573) = 143

common factors(in case of two or more numbers have common factors) = 1

GCF(2574,1573) x common factors =143 x 1 = 143

LCM(2574,1573) = ( 2574 × 1573 ) / 143

LCM(2574,1573) = 4048902 / 143

LCM(2574,1573) = 28314


Lets's calculate GCF of 852,3472

2 852, 3472
2 426, 1736
213, 868

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28314/4

Therefore the LCM of Fractions 2574/852,1573/3472 is 28314/4

Greatest Common Factor of 852,3472 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,3472 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472

Greatest Common Factor

We found the factors 852,3472 . The biggest common factor number is the GCF number.
So the greatest common factor 852,3472 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2574/852, 1573/3472

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 2574/852, 1573/3472?

Answer: LCM of Numerators as per given numbers 2574/852, 1573/3472 is

LCM of Numerators i.e. for 2574,1573 is 28314

GCF of denominators i.e. for 852,3472 is 4.

Thus, LCM of Fractions is 28314/4.Finally, LCM of Fractions for 2574/852, 1573/3472 is 28314/4.