Least Common Multiple of 856/310, 5350/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 856/310, 5350/314 quickly i.e. 10700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 856/310, 5350/314 is 10700.

LCM(856/310, 5350/314) = 10700

LCM of 856/310, 5350/314

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 856/310,5350/314

Given numbers are 856/310,5350/314

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 856,5350

Least Common Multiple of Numerators i.e. LCM of 856,5350 is 21400.

GCF of Denominators means GCF of 310,314 as per the given fractions.

GCF of 310,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 856,5350

LCM of Fractions 856/310,5350/314 is 10700

2 856, 5350
107 428, 2675
4, 25

∴ So the LCM of the given numbers is 2 x 107 x 4 x 25 = 21400

Least Common Multiple of 856,5350 with GCF Formula

Least Common Multiple of 856,5350 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 856,5350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,5350) = 214

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

GCF(856,5350) x common factors =214 x 1 = 214

LCM(856,5350) = ( 856 × 5350 ) / 214

LCM(856,5350) = 4579600 / 214

LCM(856,5350) = 21400


Lets's calculate GCF of 310,314

2 310, 314
155, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21400/2

Therefore the LCM of Fractions 856/310,5350/314 is 10700

Greatest Common Factor of 310,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,314 By Matching Biggest Common Factor Method

Factors of 310

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

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

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 310,314 . The biggest common factor number is the GCF number.
So the greatest common factor 310,314 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 856/310, 5350/314

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 856/310, 5350/314?

Answer: LCM of Numerators as per given numbers 856/310, 5350/314 is

LCM of Numerators i.e. for 856,5350 is 21400

GCF of denominators i.e. for 310,314 is 2.

Thus, LCM of Fractions is 10700.Finally, LCM of Fractions for 856/310, 5350/314 is 10700.