Least Common Multiple of 30/118, 224/636, 697/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/118, 224/636, 697/506 quickly i.e. 1170960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/118, 224/636, 697/506 is 1170960.

LCM(30/118, 224/636, 697/506) = 1170960

LCM of 30/118, 224/636, 697/506

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 30/118,224/636,697/506

Given numbers are 30/118,224/636,697/506

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 30,224,697

Least Common Multiple of Numerators i.e. LCM of 30,224,697 is 2341920.

GCF of Denominators means GCF of 118,636,506 as per the given fractions.

GCF of 118,636,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,224,697

LCM of Fractions 30/118,224/636,697/506 is 1170960

2 30, 224, 697
15, 112, 697

∴ So the LCM of the given numbers is 2 x 15 x 112 x 697 = 2341920

Least Common Multiple of 30,224,697 with GCF Formula

Least Common Multiple of 30,224,697 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 30,224,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,224,697) = 1

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

GCF(30,224,697) x common factors =1 x 2 = 2

LCM(30,224,697) = ( 30 × 224 × 697 ) / 2

LCM(30,224,697) = 4683840 / 2

LCM(30,224,697) = 2341920


Lets's calculate GCF of 118,636,506

2 118, 636, 506
59, 318, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2341920/2

Therefore the LCM of Fractions 30/118,224/636,697/506 is 1170960

Greatest Common Factor of 118,636,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,636,506 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 118,636,506 . The biggest common factor number is the GCF number.
So the greatest common factor 118,636,506 is 2.


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 30/118, 224/636, 697/506

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 30/118, 224/636, 697/506?

Answer: LCM of Numerators as per given numbers 30/118, 224/636, 697/506 is

LCM of Numerators i.e. for 30,224,697 is 2341920

GCF of denominators i.e. for 118,636,506 is 2.

Thus, LCM of Fractions is 1170960.Finally, LCM of Fractions for 30/118, 224/636, 697/506 is 1170960.