Least Common Multiple of 30/692, 6741/1252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/692, 6741/1252 quickly i.e. 67410/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/692, 6741/1252 is 67410/4.

LCM(30/692, 6741/1252) = 67410/4

LCM of 30/692, 6741/1252

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 30/692,6741/1252

Given numbers are 30/692,6741/1252

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 30,6741

Least Common Multiple of Numerators i.e. LCM of 30,6741 is 67410.

GCF of Denominators means GCF of 692,1252 as per the given fractions.

GCF of 692,1252 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,6741

LCM of Fractions 30/692,6741/1252 is 67410/4

3 30, 6741
10, 2247

∴ So the LCM of the given numbers is 3 x 10 x 2247 = 67410

Least Common Multiple of 30,6741 with GCF Formula

Least Common Multiple of 30,6741 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 30,6741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,6741) = 3

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

GCF(30,6741) x common factors =3 x 1 = 3

LCM(30,6741) = ( 30 × 6741 ) / 3

LCM(30,6741) = 202230 / 3

LCM(30,6741) = 67410


Lets's calculate GCF of 692,1252

2 692, 1252
2 346, 626
173, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67410/4

Therefore the LCM of Fractions 30/692,6741/1252 is 67410/4

Greatest Common Factor of 692,1252 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,1252 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1,2,4,313,626,1252

Greatest Common Factor

We found the factors 692,1252 . The biggest common factor number is the GCF number.
So the greatest common factor 692,1252 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 30/692, 6741/1252

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 30/692, 6741/1252?

Answer: LCM of Numerators as per given numbers 30/692, 6741/1252 is

LCM of Numerators i.e. for 30,6741 is 67410

GCF of denominators i.e. for 692,1252 is 4.

Thus, LCM of Fractions is 67410/4.Finally, LCM of Fractions for 30/692, 6741/1252 is 67410/4.