Least Common Multiple of 18/46, 902/62, 410/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/46, 902/62, 410/797 quickly i.e. 40590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/46, 902/62, 410/797 is 40590.

LCM(18/46, 902/62, 410/797) = 40590

LCM of 18/46, 902/62, 410/797

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 18/46,902/62,410/797

Given numbers are 18/46,902/62,410/797

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 18,902,410

Least Common Multiple of Numerators i.e. LCM of 18,902,410 is 40590.

GCF of Denominators means GCF of 46,62,797 as per the given fractions.

GCF of 46,62,797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,902,410

LCM of Fractions 18/46,902/62,410/797 is 40590

2 18, 902, 410
41 9, 451, 205
9, 11, 5

∴ So the LCM of the given numbers is 2 x 41 x 9 x 11 x 5 = 40590

Least Common Multiple of 18,902,410 with GCF Formula

Least Common Multiple of 18,902,410 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 18,902,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,902,410) = 2

common factors(in case of two or more numbers have common factors) = 82

GCF(18,902,410) x common factors =2 x 82 = 164

LCM(18,902,410) = ( 18 × 902 × 410 ) / 164

LCM(18,902,410) = 6656760 / 164

LCM(18,902,410) = 40590


Lets's calculate GCF of 46,62,797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40590/1

Therefore the LCM of Fractions 18/46,902/62,410/797 is 40590

Greatest Common Factor of 46,62,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,62,797 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 46,62,797 . The biggest common factor number is the GCF number.
So the greatest common factor 46,62,797 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/46, 902/62, 410/797

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 18/46, 902/62, 410/797?

Answer: LCM of Numerators as per given numbers 18/46, 902/62, 410/797 is

LCM of Numerators i.e. for 18,902,410 is 40590

GCF of denominators i.e. for 46,62,797 is 1.

Thus, LCM of Fractions is 40590.Finally, LCM of Fractions for 18/46, 902/62, 410/797 is 40590.