Least Common Multiple of 1034/379, 3234/9665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1034/379, 3234/9665 quickly i.e. 151998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1034/379, 3234/9665 is 151998.

LCM(1034/379, 3234/9665) = 151998

LCM of 1034/379, 3234/9665

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 1034/379,3234/9665

Given numbers are 1034/379,3234/9665

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 1034,3234

Least Common Multiple of Numerators i.e. LCM of 1034,3234 is 151998.

GCF of Denominators means GCF of 379,9665 as per the given fractions.

GCF of 379,9665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1034,3234

LCM of Fractions 1034/379,3234/9665 is 151998

2 1034, 3234
11 517, 1617
47, 147

∴ So the LCM of the given numbers is 2 x 11 x 47 x 147 = 151998

Least Common Multiple of 1034,3234 with GCF Formula

Least Common Multiple of 1034,3234 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 1034,3234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1034,3234) = 22

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

GCF(1034,3234) x common factors =22 x 1 = 22

LCM(1034,3234) = ( 1034 × 3234 ) / 22

LCM(1034,3234) = 3343956 / 22

LCM(1034,3234) = 151998


Lets's calculate GCF of 379,9665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151998/1

Therefore the LCM of Fractions 1034/379,3234/9665 is 151998

Greatest Common Factor of 379,9665 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,9665 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 9665

List of positive integer factors of 9665 that divides 9665 without a remainder.

1,5,1933,9665

Greatest Common Factor

We found the factors 379,9665 . The biggest common factor number is the GCF number.
So the greatest common factor 379,9665 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1034/379, 3234/9665

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 1034/379, 3234/9665?

Answer: LCM of Numerators as per given numbers 1034/379, 3234/9665 is

LCM of Numerators i.e. for 1034,3234 is 151998

GCF of denominators i.e. for 379,9665 is 1.

Thus, LCM of Fractions is 151998.Finally, LCM of Fractions for 1034/379, 3234/9665 is 151998.