Least Common Multiple of 251/351, 614/310, 188/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 251/351, 614/310, 188/807 quickly i.e. 14486716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 251/351, 614/310, 188/807 is 14486716.

LCM(251/351, 614/310, 188/807) = 14486716

LCM of 251/351, 614/310, 188/807

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 251/351,614/310,188/807

Given numbers are 251/351,614/310,188/807

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 251,614,188

Least Common Multiple of Numerators i.e. LCM of 251,614,188 is 14486716.

GCF of Denominators means GCF of 351,310,807 as per the given fractions.

GCF of 351,310,807 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 251,614,188

LCM of Fractions 251/351,614/310,188/807 is 14486716

2 251, 614, 188
251, 307, 94

∴ So the LCM of the given numbers is 2 x 251 x 307 x 94 = 14486716

Least Common Multiple of 251,614,188 with GCF Formula

Least Common Multiple of 251,614,188 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 251,614,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,614,188) = 1

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

GCF(251,614,188) x common factors =1 x 2 = 2

LCM(251,614,188) = ( 251 × 614 × 188 ) / 2

LCM(251,614,188) = 28973432 / 2

LCM(251,614,188) = 14486716


Lets's calculate GCF of 351,310,807

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14486716/1

Therefore the LCM of Fractions 251/351,614/310,188/807 is 14486716

Greatest Common Factor of 351,310,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,310,807 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

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 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 351,310,807 . The biggest common factor number is the GCF number.
So the greatest common factor 351,310,807 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 251/351, 614/310, 188/807

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 251/351, 614/310, 188/807?

Answer: LCM of Numerators as per given numbers 251/351, 614/310, 188/807 is

LCM of Numerators i.e. for 251,614,188 is 14486716

GCF of denominators i.e. for 351,310,807 is 1.

Thus, LCM of Fractions is 14486716.Finally, LCM of Fractions for 251/351, 614/310, 188/807 is 14486716.