Least Common Multiple of 24/470, 819/946, 710/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/470, 819/946, 710/119 quickly i.e. 2325960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/470, 819/946, 710/119 is 2325960.

LCM(24/470, 819/946, 710/119) = 2325960

LCM of 24/470, 819/946, 710/119

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 24/470,819/946,710/119

Given numbers are 24/470,819/946,710/119

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 24,819,710

Least Common Multiple of Numerators i.e. LCM of 24,819,710 is 2325960.

GCF of Denominators means GCF of 470,946,119 as per the given fractions.

GCF of 470,946,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,819,710

LCM of Fractions 24/470,819/946,710/119 is 2325960

2 24, 819, 710
3 12, 819, 355
4, 273, 355

∴ So the LCM of the given numbers is 2 x 3 x 4 x 273 x 355 = 2325960

Least Common Multiple of 24,819,710 with GCF Formula

Least Common Multiple of 24,819,710 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 24,819,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,819,710) = 1

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

GCF(24,819,710) x common factors =1 x 6 = 6

LCM(24,819,710) = ( 24 × 819 × 710 ) / 6

LCM(24,819,710) = 13955760 / 6

LCM(24,819,710) = 2325960


Lets's calculate GCF of 470,946,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2325960/1

Therefore the LCM of Fractions 24/470,819/946,710/119 is 2325960

Greatest Common Factor of 470,946,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,946,119 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 470,946,119 . The biggest common factor number is the GCF number.
So the greatest common factor 470,946,119 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 24/470, 819/946, 710/119

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 24/470, 819/946, 710/119?

Answer: LCM of Numerators as per given numbers 24/470, 819/946, 710/119 is

LCM of Numerators i.e. for 24,819,710 is 2325960

GCF of denominators i.e. for 470,946,119 is 1.

Thus, LCM of Fractions is 2325960.Finally, LCM of Fractions for 24/470, 819/946, 710/119 is 2325960.