Least Common Multiple of 127/530, 894/975, 210/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 127/530, 894/975, 210/129 quickly i.e. 3973830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 127/530, 894/975, 210/129 is 3973830.

LCM(127/530, 894/975, 210/129) = 3973830

LCM of 127/530, 894/975, 210/129

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 127/530,894/975,210/129

Given numbers are 127/530,894/975,210/129

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 127,894,210

Least Common Multiple of Numerators i.e. LCM of 127,894,210 is 3973830.

GCF of Denominators means GCF of 530,975,129 as per the given fractions.

GCF of 530,975,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 127,894,210

LCM of Fractions 127/530,894/975,210/129 is 3973830

2 127, 894, 210
3 127, 447, 105
127, 149, 35

∴ So the LCM of the given numbers is 2 x 3 x 127 x 149 x 35 = 3973830

Least Common Multiple of 127,894,210 with GCF Formula

Least Common Multiple of 127,894,210 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 127,894,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,894,210) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(127,894,210) x common factors =1 x 6 = 6

LCM(127,894,210) = ( 127 × 894 × 210 ) / 6

LCM(127,894,210) = 23842980 / 6

LCM(127,894,210) = 3973830


Lets's calculate GCF of 530,975,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3973830/1

Therefore the LCM of Fractions 127/530,894/975,210/129 is 3973830

Greatest Common Factor of 530,975,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,975,129 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 530,975,129 . The biggest common factor number is the GCF number.
So the greatest common factor 530,975,129 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 127/530, 894/975, 210/129

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 127/530, 894/975, 210/129?

Answer: LCM of Numerators as per given numbers 127/530, 894/975, 210/129 is

LCM of Numerators i.e. for 127,894,210 is 3973830

GCF of denominators i.e. for 530,975,129 is 1.

Thus, LCM of Fractions is 3973830.Finally, LCM of Fractions for 127/530, 894/975, 210/129 is 3973830.