Least Common Multiple of 94/402, 101/850, 346/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/402, 101/850, 346/345 quickly i.e. 1642462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/402, 101/850, 346/345 is 1642462.

LCM(94/402, 101/850, 346/345) = 1642462

LCM of 94/402, 101/850, 346/345

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 94/402,101/850,346/345

Given numbers are 94/402,101/850,346/345

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 94,101,346

Least Common Multiple of Numerators i.e. LCM of 94,101,346 is 1642462.

GCF of Denominators means GCF of 402,850,345 as per the given fractions.

GCF of 402,850,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,101,346

LCM of Fractions 94/402,101/850,346/345 is 1642462

2 94, 101, 346
47, 101, 173

∴ So the LCM of the given numbers is 2 x 47 x 101 x 173 = 1642462

Least Common Multiple of 94,101,346 with GCF Formula

Least Common Multiple of 94,101,346 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 94,101,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,101,346) = 1

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

GCF(94,101,346) x common factors =1 x 2 = 2

LCM(94,101,346) = ( 94 × 101 × 346 ) / 2

LCM(94,101,346) = 3284924 / 2

LCM(94,101,346) = 1642462


Lets's calculate GCF of 402,850,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1642462/1

Therefore the LCM of Fractions 94/402,101/850,346/345 is 1642462

Greatest Common Factor of 402,850,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,850,345 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 402,850,345 . The biggest common factor number is the GCF number.
So the greatest common factor 402,850,345 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/402, 101/850, 346/345

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 94/402, 101/850, 346/345?

Answer: LCM of Numerators as per given numbers 94/402, 101/850, 346/345 is

LCM of Numerators i.e. for 94,101,346 is 1642462

GCF of denominators i.e. for 402,850,345 is 1.

Thus, LCM of Fractions is 1642462.Finally, LCM of Fractions for 94/402, 101/850, 346/345 is 1642462.