Least Common Multiple of 1604/98, 2446/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1604/98, 2446/434 quickly i.e. 1961692/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1604/98, 2446/434 is 1961692/14.

LCM(1604/98, 2446/434) = 1961692/14

LCM of 1604/98, 2446/434

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 1604/98,2446/434

Given numbers are 1604/98,2446/434

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 1604,2446

Least Common Multiple of Numerators i.e. LCM of 1604,2446 is 1961692.

GCF of Denominators means GCF of 98,434 as per the given fractions.

GCF of 98,434 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1604,2446

LCM of Fractions 1604/98,2446/434 is 1961692/14

2 1604, 2446
802, 1223

∴ So the LCM of the given numbers is 2 x 802 x 1223 = 1961692

Least Common Multiple of 1604,2446 with GCF Formula

Least Common Multiple of 1604,2446 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 1604,2446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1604,2446) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(1604,2446) x common factors =2 x 1 = 2

LCM(1604,2446) = ( 1604 × 2446 ) / 2

LCM(1604,2446) = 3923384 / 2

LCM(1604,2446) = 1961692


Lets's calculate GCF of 98,434

2 98, 434
7 49, 217
7, 31

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1961692/14

Therefore the LCM of Fractions 1604/98,2446/434 is 1961692/14

Greatest Common Factor of 98,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,434 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 98,434 . The biggest common factor number is the GCF number.
So the greatest common factor 98,434 is 14.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1604/98, 2446/434

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 1604/98, 2446/434?

Answer: LCM of Numerators as per given numbers 1604/98, 2446/434 is

LCM of Numerators i.e. for 1604,2446 is 1961692

GCF of denominators i.e. for 98,434 is 14.

Thus, LCM of Fractions is 1961692/14.Finally, LCM of Fractions for 1604/98, 2446/434 is 1961692/14.