Least Common Multiple of 630/53, 755/6267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 630/53, 755/6267 quickly i.e. 95130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 630/53, 755/6267 is 95130.

LCM(630/53, 755/6267) = 95130

LCM of 630/53, 755/6267

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 630/53,755/6267

Given numbers are 630/53,755/6267

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 630,755

Least Common Multiple of Numerators i.e. LCM of 630,755 is 95130.

GCF of Denominators means GCF of 53,6267 as per the given fractions.

GCF of 53,6267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 630,755

LCM of Fractions 630/53,755/6267 is 95130

5 630, 755
126, 151

∴ So the LCM of the given numbers is 5 x 126 x 151 = 95130

Least Common Multiple of 630,755 with GCF Formula

Least Common Multiple of 630,755 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 630,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(630,755) = 5

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

GCF(630,755) x common factors =5 x 1 = 5

LCM(630,755) = ( 630 × 755 ) / 5

LCM(630,755) = 475650 / 5

LCM(630,755) = 95130


Lets's calculate GCF of 53,6267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95130/1

Therefore the LCM of Fractions 630/53,755/6267 is 95130

Greatest Common Factor of 53,6267 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,6267 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 6267

List of positive integer factors of 6267 that divides 6267 without a remainder.

1,3,2089,6267

Greatest Common Factor

We found the factors 53,6267 . The biggest common factor number is the GCF number.
So the greatest common factor 53,6267 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 630/53, 755/6267

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 630/53, 755/6267?

Answer: LCM of Numerators as per given numbers 630/53, 755/6267 is

LCM of Numerators i.e. for 630,755 is 95130

GCF of denominators i.e. for 53,6267 is 1.

Thus, LCM of Fractions is 95130.Finally, LCM of Fractions for 630/53, 755/6267 is 95130.