Least Common Multiple of 1431/152, 3298/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1431/152, 3298/855 quickly i.e. 4719438/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1431/152, 3298/855 is 4719438/19.

LCM(1431/152, 3298/855) = 4719438/19

LCM of 1431/152, 3298/855

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 1431/152,3298/855

Given numbers are 1431/152,3298/855

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 1431,3298

Least Common Multiple of Numerators i.e. LCM of 1431,3298 is 4719438.

GCF of Denominators means GCF of 152,855 as per the given fractions.

GCF of 152,855 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1431,3298

LCM of Fractions 1431/152,3298/855 is 4719438/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 4719438

Least Common Multiple of 1431,3298 with GCF Formula

Least Common Multiple of 1431,3298 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 1431,3298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1431,3298) = 1

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

GCF(1431,3298) x common factors =1 x 1 = 1

LCM(1431,3298) = ( 1431 × 3298 ) / 1

LCM(1431,3298) = 4719438 / 1

LCM(1431,3298) = 4719438


Lets's calculate GCF of 152,855

19 152, 855
8, 45

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4719438/19

Therefore the LCM of Fractions 1431/152,3298/855 is 4719438/19

Greatest Common Factor of 152,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,855 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 152,855 . The biggest common factor number is the GCF number.
So the greatest common factor 152,855 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1431/152, 3298/855

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 1431/152, 3298/855?

Answer: LCM of Numerators as per given numbers 1431/152, 3298/855 is

LCM of Numerators i.e. for 1431,3298 is 4719438

GCF of denominators i.e. for 152,855 is 19.

Thus, LCM of Fractions is 4719438/19.Finally, LCM of Fractions for 1431/152, 3298/855 is 4719438/19.