Least Common Multiple of 313/38, 782/77, 308/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/38, 782/77, 308/750 quickly i.e. 37693964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/38, 782/77, 308/750 is 37693964.

LCM(313/38, 782/77, 308/750) = 37693964

LCM of 313/38, 782/77, 308/750

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 313/38,782/77,308/750

Given numbers are 313/38,782/77,308/750

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 313,782,308

Least Common Multiple of Numerators i.e. LCM of 313,782,308 is 37693964.

GCF of Denominators means GCF of 38,77,750 as per the given fractions.

GCF of 38,77,750 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,782,308

LCM of Fractions 313/38,782/77,308/750 is 37693964

2 313, 782, 308
313, 391, 154

∴ So the LCM of the given numbers is 2 x 313 x 391 x 154 = 37693964

Least Common Multiple of 313,782,308 with GCF Formula

Least Common Multiple of 313,782,308 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 313,782,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,782,308) = 1

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

GCF(313,782,308) x common factors =1 x 2 = 2

LCM(313,782,308) = ( 313 × 782 × 308 ) / 2

LCM(313,782,308) = 75387928 / 2

LCM(313,782,308) = 37693964


Lets's calculate GCF of 38,77,750

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37693964/1

Therefore the LCM of Fractions 313/38,782/77,308/750 is 37693964

Greatest Common Factor of 38,77,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,77,750 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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 38,77,750 . The biggest common factor number is the GCF number.
So the greatest common factor 38,77,750 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 313/38, 782/77, 308/750

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 313/38, 782/77, 308/750?

Answer: LCM of Numerators as per given numbers 313/38, 782/77, 308/750 is

LCM of Numerators i.e. for 313,782,308 is 37693964

GCF of denominators i.e. for 38,77,750 is 1.

Thus, LCM of Fractions is 37693964.Finally, LCM of Fractions for 313/38, 782/77, 308/750 is 37693964.