Least Common Multiple of 69/30, 414/71, 785/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/30, 414/71, 785/298 quickly i.e. 324990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/30, 414/71, 785/298 is 324990.

LCM(69/30, 414/71, 785/298) = 324990

LCM of 69/30, 414/71, 785/298

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 69/30,414/71,785/298

Given numbers are 69/30,414/71,785/298

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 69,414,785

Least Common Multiple of Numerators i.e. LCM of 69,414,785 is 324990.

GCF of Denominators means GCF of 30,71,298 as per the given fractions.

GCF of 30,71,298 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,414,785

LCM of Fractions 69/30,414/71,785/298 is 324990

3 69, 414, 785
23 23, 138, 785
1, 6, 785

∴ So the LCM of the given numbers is 3 x 23 x 1 x 6 x 785 = 324990

Least Common Multiple of 69,414,785 with GCF Formula

Least Common Multiple of 69,414,785 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 69,414,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,414,785) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(69,414,785) x common factors =1 x 69 = 69

LCM(69,414,785) = ( 69 × 414 × 785 ) / 69

LCM(69,414,785) = 22424310 / 69

LCM(69,414,785) = 324990


Lets's calculate GCF of 30,71,298

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324990/1

Therefore the LCM of Fractions 69/30,414/71,785/298 is 324990

Greatest Common Factor of 30,71,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,71,298 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Greatest Common Factor

We found the factors 30,71,298 . The biggest common factor number is the GCF number.
So the greatest common factor 30,71,298 is 1.


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 69/30, 414/71, 785/298

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 69/30, 414/71, 785/298?

Answer: LCM of Numerators as per given numbers 69/30, 414/71, 785/298 is

LCM of Numerators i.e. for 69,414,785 is 324990

GCF of denominators i.e. for 30,71,298 is 1.

Thus, LCM of Fractions is 324990.Finally, LCM of Fractions for 69/30, 414/71, 785/298 is 324990.