Least Common Multiple of 252/478, 966/154, 345/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/478, 966/154, 345/626 quickly i.e. 14490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/478, 966/154, 345/626 is 14490.

LCM(252/478, 966/154, 345/626) = 14490

LCM of 252/478, 966/154, 345/626

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 252/478,966/154,345/626

Given numbers are 252/478,966/154,345/626

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 252,966,345

Least Common Multiple of Numerators i.e. LCM of 252,966,345 is 28980.

GCF of Denominators means GCF of 478,154,626 as per the given fractions.

GCF of 478,154,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,966,345

LCM of Fractions 252/478,966/154,345/626 is 14490

2 252, 966, 345
3 126, 483, 345
7 42, 161, 115
23 6, 23, 115
6, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 6 x 1 x 5 = 28980

Least Common Multiple of 252,966,345 with GCF Formula

Least Common Multiple of 252,966,345 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 252,966,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,966,345) = 3

common factors(in case of two or more numbers have common factors) = 966

GCF(252,966,345) x common factors =3 x 966 = 2898

LCM(252,966,345) = ( 252 × 966 × 345 ) / 2898

LCM(252,966,345) = 83984040 / 2898

LCM(252,966,345) = 28980


Lets's calculate GCF of 478,154,626

2 478, 154, 626
239, 77, 313

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28980/2

Therefore the LCM of Fractions 252/478,966/154,345/626 is 14490

Greatest Common Factor of 478,154,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,154,626 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 478,154,626 . The biggest common factor number is the GCF number.
So the greatest common factor 478,154,626 is 2.


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 252/478, 966/154, 345/626

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 252/478, 966/154, 345/626?

Answer: LCM of Numerators as per given numbers 252/478, 966/154, 345/626 is

LCM of Numerators i.e. for 252,966,345 is 28980

GCF of denominators i.e. for 478,154,626 is 2.

Thus, LCM of Fractions is 14490.Finally, LCM of Fractions for 252/478, 966/154, 345/626 is 14490.