Least Common Multiple of 314/38, 651/99, 754/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/38, 651/99, 754/286 quickly i.e. 77064078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/38, 651/99, 754/286 is 77064078.

LCM(314/38, 651/99, 754/286) = 77064078

LCM of 314/38, 651/99, 754/286

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 314/38,651/99,754/286

Given numbers are 314/38,651/99,754/286

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 314,651,754

Least Common Multiple of Numerators i.e. LCM of 314,651,754 is 77064078.

GCF of Denominators means GCF of 38,99,286 as per the given fractions.

GCF of 38,99,286 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,651,754

LCM of Fractions 314/38,651/99,754/286 is 77064078

2 314, 651, 754
157, 651, 377

∴ So the LCM of the given numbers is 2 x 157 x 651 x 377 = 77064078

Least Common Multiple of 314,651,754 with GCF Formula

Least Common Multiple of 314,651,754 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 314,651,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,651,754) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(314,651,754) x common factors =1 x 2 = 2

LCM(314,651,754) = ( 314 × 651 × 754 ) / 2

LCM(314,651,754) = 154128156 / 2

LCM(314,651,754) = 77064078


Lets's calculate GCF of 38,99,286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77064078/1

Therefore the LCM of Fractions 314/38,651/99,754/286 is 77064078

Greatest Common Factor of 38,99,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,99,286 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 38,99,286 . The biggest common factor number is the GCF number.
So the greatest common factor 38,99,286 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 314/38, 651/99, 754/286

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 314/38, 651/99, 754/286?

Answer: LCM of Numerators as per given numbers 314/38, 651/99, 754/286 is

LCM of Numerators i.e. for 314,651,754 is 77064078

GCF of denominators i.e. for 38,99,286 is 1.

Thus, LCM of Fractions is 77064078.Finally, LCM of Fractions for 314/38, 651/99, 754/286 is 77064078.