Least Common Multiple of 69/374, 35/458, 310/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/374, 35/458, 310/978 quickly i.e. 74865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/374, 35/458, 310/978 is 74865.

LCM(69/374, 35/458, 310/978) = 74865

LCM of 69/374, 35/458, 310/978

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 69/374,35/458,310/978

Given numbers are 69/374,35/458,310/978

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 69,35,310

Least Common Multiple of Numerators i.e. LCM of 69,35,310 is 149730.

GCF of Denominators means GCF of 374,458,978 as per the given fractions.

GCF of 374,458,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,35,310

LCM of Fractions 69/374,35/458,310/978 is 74865

5 69, 35, 310
69, 7, 62

∴ So the LCM of the given numbers is 5 x 69 x 7 x 62 = 149730

Least Common Multiple of 69,35,310 with GCF Formula

Least Common Multiple of 69,35,310 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 69,35,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,35,310) = 1

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

GCF(69,35,310) x common factors =1 x 5 = 5

LCM(69,35,310) = ( 69 × 35 × 310 ) / 5

LCM(69,35,310) = 748650 / 5

LCM(69,35,310) = 149730


Lets's calculate GCF of 374,458,978

2 374, 458, 978
187, 229, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149730/2

Therefore the LCM of Fractions 69/374,35/458,310/978 is 74865

Greatest Common Factor of 374,458,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,458,978 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 374,458,978 . The biggest common factor number is the GCF number.
So the greatest common factor 374,458,978 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 69/374, 35/458, 310/978

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 69/374, 35/458, 310/978?

Answer: LCM of Numerators as per given numbers 69/374, 35/458, 310/978 is

LCM of Numerators i.e. for 69,35,310 is 149730

GCF of denominators i.e. for 374,458,978 is 2.

Thus, LCM of Fractions is 74865.Finally, LCM of Fractions for 69/374, 35/458, 310/978 is 74865.