Least Common Multiple of 49/525, 20/602, 306/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/525, 20/602, 306/612 quickly i.e. 149940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/525, 20/602, 306/612 is 149940.

LCM(49/525, 20/602, 306/612) = 149940

LCM of 49/525, 20/602, 306/612

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 49/525,20/602,306/612

Given numbers are 49/525,20/602,306/612

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 49,20,306

Least Common Multiple of Numerators i.e. LCM of 49,20,306 is 149940.

GCF of Denominators means GCF of 525,602,612 as per the given fractions.

GCF of 525,602,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,20,306

LCM of Fractions 49/525,20/602,306/612 is 149940

2 49, 20, 306
49, 10, 153

∴ So the LCM of the given numbers is 2 x 49 x 10 x 153 = 149940

Least Common Multiple of 49,20,306 with GCF Formula

Least Common Multiple of 49,20,306 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 49,20,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,20,306) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(49,20,306) x common factors =1 x 2 = 2

LCM(49,20,306) = ( 49 × 20 × 306 ) / 2

LCM(49,20,306) = 299880 / 2

LCM(49,20,306) = 149940


Lets's calculate GCF of 525,602,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149940/1

Therefore the LCM of Fractions 49/525,20/602,306/612 is 149940

Greatest Common Factor of 525,602,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,602,612 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 525,602,612 . The biggest common factor number is the GCF number.
So the greatest common factor 525,602,612 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 49/525, 20/602, 306/612

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 49/525, 20/602, 306/612?

Answer: LCM of Numerators as per given numbers 49/525, 20/602, 306/612 is

LCM of Numerators i.e. for 49,20,306 is 149940

GCF of denominators i.e. for 525,602,612 is 1.

Thus, LCM of Fractions is 149940.Finally, LCM of Fractions for 49/525, 20/602, 306/612 is 149940.