Least Common Multiple of 455/49, 895/2551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 455/49, 895/2551 quickly i.e. 81445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 455/49, 895/2551 is 81445.

LCM(455/49, 895/2551) = 81445

LCM of 455/49, 895/2551

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 455/49,895/2551

Given numbers are 455/49,895/2551

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 455,895

Least Common Multiple of Numerators i.e. LCM of 455,895 is 81445.

GCF of Denominators means GCF of 49,2551 as per the given fractions.

GCF of 49,2551 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 455,895

LCM of Fractions 455/49,895/2551 is 81445

5 455, 895
91, 179

∴ So the LCM of the given numbers is 5 x 91 x 179 = 81445

Least Common Multiple of 455,895 with GCF Formula

Least Common Multiple of 455,895 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 455,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,895) = 5

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

GCF(455,895) x common factors =5 x 1 = 5

LCM(455,895) = ( 455 × 895 ) / 5

LCM(455,895) = 407225 / 5

LCM(455,895) = 81445


Lets's calculate GCF of 49,2551

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81445/1

Therefore the LCM of Fractions 455/49,895/2551 is 81445

Greatest Common Factor of 49,2551 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,2551 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 2551

List of positive integer factors of 2551 that divides 2551 without a remainder.

1,2551

Greatest Common Factor

We found the factors 49,2551 . The biggest common factor number is the GCF number.
So the greatest common factor 49,2551 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 455/49, 895/2551

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 455/49, 895/2551?

Answer: LCM of Numerators as per given numbers 455/49, 895/2551 is

LCM of Numerators i.e. for 455,895 is 81445

GCF of denominators i.e. for 49,2551 is 1.

Thus, LCM of Fractions is 81445.Finally, LCM of Fractions for 455/49, 895/2551 is 81445.