Least Common Multiple of 154/70, 210/5905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 154/70, 210/5905 quickly i.e. 462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 154/70, 210/5905 is 462.

LCM(154/70, 210/5905) = 462

LCM of 154/70, 210/5905

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 154/70,210/5905

Given numbers are 154/70,210/5905

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 154,210

Least Common Multiple of Numerators i.e. LCM of 154,210 is 2310.

GCF of Denominators means GCF of 70,5905 as per the given fractions.

GCF of 70,5905 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 154,210

LCM of Fractions 154/70,210/5905 is 462

2 154, 210
7 77, 105
11, 15

∴ So the LCM of the given numbers is 2 x 7 x 11 x 15 = 2310

Least Common Multiple of 154,210 with GCF Formula

Least Common Multiple of 154,210 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 154,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,210) = 14

common factors(in case of two or more numbers have common factors) = 1

GCF(154,210) x common factors =14 x 1 = 14

LCM(154,210) = ( 154 × 210 ) / 14

LCM(154,210) = 32340 / 14

LCM(154,210) = 2310


Lets's calculate GCF of 70,5905

5 70, 5905
14, 1181

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2310/5

Therefore the LCM of Fractions 154/70,210/5905 is 462

Greatest Common Factor of 70,5905 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5905 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5905

List of positive integer factors of 5905 that divides 5905 without a remainder.

1,5,1181,5905

Greatest Common Factor

We found the factors 70,5905 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5905 is 5.


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 154/70, 210/5905

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 154/70, 210/5905?

Answer: LCM of Numerators as per given numbers 154/70, 210/5905 is

LCM of Numerators i.e. for 154,210 is 2310

GCF of denominators i.e. for 70,5905 is 5.

Thus, LCM of Fractions is 462.Finally, LCM of Fractions for 154/70, 210/5905 is 462.