Least Common Multiple of 38/700, 803/566, 974/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/700, 803/566, 974/310 quickly i.e. 7430159 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/700, 803/566, 974/310 is 7430159.

LCM(38/700, 803/566, 974/310) = 7430159

LCM of 38/700, 803/566, 974/310

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 38/700,803/566,974/310

Given numbers are 38/700,803/566,974/310

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 38,803,974

Least Common Multiple of Numerators i.e. LCM of 38,803,974 is 14860318.

GCF of Denominators means GCF of 700,566,310 as per the given fractions.

GCF of 700,566,310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,803,974

LCM of Fractions 38/700,803/566,974/310 is 7430159

2 38, 803, 974
19, 803, 487

∴ So the LCM of the given numbers is 2 x 19 x 803 x 487 = 14860318

Least Common Multiple of 38,803,974 with GCF Formula

Least Common Multiple of 38,803,974 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 38,803,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,803,974) = 1

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

GCF(38,803,974) x common factors =1 x 2 = 2

LCM(38,803,974) = ( 38 × 803 × 974 ) / 2

LCM(38,803,974) = 29720636 / 2

LCM(38,803,974) = 14860318


Lets's calculate GCF of 700,566,310

2 700, 566, 310
350, 283, 155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14860318/2

Therefore the LCM of Fractions 38/700,803/566,974/310 is 7430159

Greatest Common Factor of 700,566,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,566,310 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 700,566,310 . The biggest common factor number is the GCF number.
So the greatest common factor 700,566,310 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 38/700, 803/566, 974/310

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 38/700, 803/566, 974/310?

Answer: LCM of Numerators as per given numbers 38/700, 803/566, 974/310 is

LCM of Numerators i.e. for 38,803,974 is 14860318

GCF of denominators i.e. for 700,566,310 is 2.

Thus, LCM of Fractions is 7430159.Finally, LCM of Fractions for 38/700, 803/566, 974/310 is 7430159.