Least Common Multiple of 55/479, 19/750, 870/951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/479, 19/750, 870/951 quickly i.e. 181830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/479, 19/750, 870/951 is 181830.

LCM(55/479, 19/750, 870/951) = 181830

LCM of 55/479, 19/750, 870/951

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 55/479,19/750,870/951

Given numbers are 55/479,19/750,870/951

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 55,19,870

Least Common Multiple of Numerators i.e. LCM of 55,19,870 is 181830.

GCF of Denominators means GCF of 479,750,951 as per the given fractions.

GCF of 479,750,951 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,19,870

LCM of Fractions 55/479,19/750,870/951 is 181830

5 55, 19, 870
11, 19, 174

∴ So the LCM of the given numbers is 5 x 11 x 19 x 174 = 181830

Least Common Multiple of 55,19,870 with GCF Formula

Least Common Multiple of 55,19,870 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 55,19,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,19,870) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,19,870) x common factors =1 x 5 = 5

LCM(55,19,870) = ( 55 × 19 × 870 ) / 5

LCM(55,19,870) = 909150 / 5

LCM(55,19,870) = 181830


Lets's calculate GCF of 479,750,951

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181830/1

Therefore the LCM of Fractions 55/479,19/750,870/951 is 181830

Greatest Common Factor of 479,750,951 By Matching Biggest Common Factor Method

Greatest Common Factor of 479,750,951 By Matching Biggest Common Factor Method

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Greatest Common Factor

We found the factors 479,750,951 . The biggest common factor number is the GCF number.
So the greatest common factor 479,750,951 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 55/479, 19/750, 870/951

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 55/479, 19/750, 870/951?

Answer: LCM of Numerators as per given numbers 55/479, 19/750, 870/951 is

LCM of Numerators i.e. for 55,19,870 is 181830

GCF of denominators i.e. for 479,750,951 is 1.

Thus, LCM of Fractions is 181830.Finally, LCM of Fractions for 55/479, 19/750, 870/951 is 181830.