Least Common Multiple of 527/51, 555/48, 999/35

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 527/51, 555/48, 999/35 quickly i.e. 2632365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 527/51, 555/48, 999/35 is 2632365.

LCM(527/51, 555/48, 999/35) = 2632365

LCM of 527/51, 555/48, 999/35

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 527/51,555/48,999/35

Given numbers are 527/51,555/48,999/35

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 527,555,999

Least Common Multiple of Numerators i.e. LCM of 527,555,999 is 2632365.

GCF of Denominators means GCF of 51,48,35 as per the given fractions.

GCF of 51,48,35 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 527,555,999

LCM of Fractions 527/51,555/48,999/35 is 2632365

3 527, 555, 999
37 527, 185, 333
527, 5, 9

∴ So the LCM of the given numbers is 3 x 37 x 527 x 5 x 9 = 2632365

Least Common Multiple of 527,555,999 with GCF Formula

Least Common Multiple of 527,555,999 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 527,555,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,555,999) = 1

common factors(in case of two or more numbers have common factors) = 111

GCF(527,555,999) x common factors =1 x 111 = 111

LCM(527,555,999) = ( 527 × 555 × 999 ) / 111

LCM(527,555,999) = 292192515 / 111

LCM(527,555,999) = 2632365


Lets's calculate GCF of 51,48,35

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2632365/1

Therefore the LCM of Fractions 527/51,555/48,999/35 is 2632365

Greatest Common Factor of 51,48,35 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,48,35 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Greatest Common Factor

We found the factors 51,48,35 . The biggest common factor number is the GCF number.
So the greatest common factor 51,48,35 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 527/51, 555/48, 999/35

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 527/51, 555/48, 999/35?

Answer: LCM of Numerators as per given numbers 527/51, 555/48, 999/35 is

LCM of Numerators i.e. for 527,555,999 is 2632365

GCF of denominators i.e. for 51,48,35 is 1.

Thus, LCM of Fractions is 2632365.Finally, LCM of Fractions for 527/51, 555/48, 999/35 is 2632365.