Least Common Multiple of 346/671, 503/496, 202/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 346/671, 503/496, 202/357 quickly i.e. 17577838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 346/671, 503/496, 202/357 is 17577838.

LCM(346/671, 503/496, 202/357) = 17577838

LCM of 346/671, 503/496, 202/357

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 346/671,503/496,202/357

Given numbers are 346/671,503/496,202/357

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 346,503,202

Least Common Multiple of Numerators i.e. LCM of 346,503,202 is 17577838.

GCF of Denominators means GCF of 671,496,357 as per the given fractions.

GCF of 671,496,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 346,503,202

LCM of Fractions 346/671,503/496,202/357 is 17577838

2 346, 503, 202
173, 503, 101

∴ So the LCM of the given numbers is 2 x 173 x 503 x 101 = 17577838

Least Common Multiple of 346,503,202 with GCF Formula

Least Common Multiple of 346,503,202 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 346,503,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(346,503,202) = 1

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

GCF(346,503,202) x common factors =1 x 2 = 2

LCM(346,503,202) = ( 346 × 503 × 202 ) / 2

LCM(346,503,202) = 35155676 / 2

LCM(346,503,202) = 17577838


Lets's calculate GCF of 671,496,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17577838/1

Therefore the LCM of Fractions 346/671,503/496,202/357 is 17577838

Greatest Common Factor of 671,496,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,496,357 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 671,496,357 . The biggest common factor number is the GCF number.
So the greatest common factor 671,496,357 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 346/671, 503/496, 202/357

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 346/671, 503/496, 202/357?

Answer: LCM of Numerators as per given numbers 346/671, 503/496, 202/357 is

LCM of Numerators i.e. for 346,503,202 is 17577838

GCF of denominators i.e. for 671,496,357 is 1.

Thus, LCM of Fractions is 17577838.Finally, LCM of Fractions for 346/671, 503/496, 202/357 is 17577838.