Least Common Multiple of 1529/69, 3675/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1529/69, 3675/294 quickly i.e. 1873025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1529/69, 3675/294 is 1873025.

LCM(1529/69, 3675/294) = 1873025

LCM of 1529/69, 3675/294

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 1529/69,3675/294

Given numbers are 1529/69,3675/294

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 1529,3675

Least Common Multiple of Numerators i.e. LCM of 1529,3675 is 5619075.

GCF of Denominators means GCF of 69,294 as per the given fractions.

GCF of 69,294 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1529,3675

LCM of Fractions 1529/69,3675/294 is 1873025

Given numbers has no common factors except 1. So, there LCM is their product i.e 5619075

Least Common Multiple of 1529,3675 with GCF Formula

Least Common Multiple of 1529,3675 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 1529,3675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1529,3675) = 1

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

GCF(1529,3675) x common factors =1 x 1 = 1

LCM(1529,3675) = ( 1529 × 3675 ) / 1

LCM(1529,3675) = 5619075 / 1

LCM(1529,3675) = 5619075


Lets's calculate GCF of 69,294

3 69, 294
23, 98

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5619075/3

Therefore the LCM of Fractions 1529/69,3675/294 is 1873025

Greatest Common Factor of 69,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,294 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 69,294 . The biggest common factor number is the GCF number.
So the greatest common factor 69,294 is 3.


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 1529/69, 3675/294

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 1529/69, 3675/294?

Answer: LCM of Numerators as per given numbers 1529/69, 3675/294 is

LCM of Numerators i.e. for 1529,3675 is 5619075

GCF of denominators i.e. for 69,294 is 3.

Thus, LCM of Fractions is 1873025.Finally, LCM of Fractions for 1529/69, 3675/294 is 1873025.