Least Common Multiple of 46/602, 281/65, 150/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/602, 281/65, 150/633 quickly i.e. 969450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/602, 281/65, 150/633 is 969450.

LCM(46/602, 281/65, 150/633) = 969450

LCM of 46/602, 281/65, 150/633

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 46/602,281/65,150/633

Given numbers are 46/602,281/65,150/633

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 46,281,150

Least Common Multiple of Numerators i.e. LCM of 46,281,150 is 969450.

GCF of Denominators means GCF of 602,65,633 as per the given fractions.

GCF of 602,65,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,281,150

LCM of Fractions 46/602,281/65,150/633 is 969450

2 46, 281, 150
23, 281, 75

∴ So the LCM of the given numbers is 2 x 23 x 281 x 75 = 969450

Least Common Multiple of 46,281,150 with GCF Formula

Least Common Multiple of 46,281,150 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 46,281,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,281,150) = 1

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

GCF(46,281,150) x common factors =1 x 2 = 2

LCM(46,281,150) = ( 46 × 281 × 150 ) / 2

LCM(46,281,150) = 1938900 / 2

LCM(46,281,150) = 969450


Lets's calculate GCF of 602,65,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 969450/1

Therefore the LCM of Fractions 46/602,281/65,150/633 is 969450

Greatest Common Factor of 602,65,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,65,633 By Matching Biggest Common Factor Method

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 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 602,65,633 . The biggest common factor number is the GCF number.
So the greatest common factor 602,65,633 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/602, 281/65, 150/633

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 46/602, 281/65, 150/633?

Answer: LCM of Numerators as per given numbers 46/602, 281/65, 150/633 is

LCM of Numerators i.e. for 46,281,150 is 969450

GCF of denominators i.e. for 602,65,633 is 1.

Thus, LCM of Fractions is 969450.Finally, LCM of Fractions for 46/602, 281/65, 150/633 is 969450.