Least Common Multiple of 14/391, 358/51, 767/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 14/391, 358/51, 767/400 quickly i.e. 1922102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/391, 358/51, 767/400 is 1922102.

LCM(14/391, 358/51, 767/400) = 1922102

LCM of 14/391, 358/51, 767/400

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 14/391,358/51,767/400

Given numbers are 14/391,358/51,767/400

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 14,358,767

Least Common Multiple of Numerators i.e. LCM of 14,358,767 is 1922102.

GCF of Denominators means GCF of 391,51,400 as per the given fractions.

GCF of 391,51,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,358,767

LCM of Fractions 14/391,358/51,767/400 is 1922102

2 14, 358, 767
7, 179, 767

∴ So the LCM of the given numbers is 2 x 7 x 179 x 767 = 1922102

Least Common Multiple of 14,358,767 with GCF Formula

Least Common Multiple of 14,358,767 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 14,358,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,358,767) = 1

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

GCF(14,358,767) x common factors =1 x 2 = 2

LCM(14,358,767) = ( 14 × 358 × 767 ) / 2

LCM(14,358,767) = 3844204 / 2

LCM(14,358,767) = 1922102


Lets's calculate GCF of 391,51,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1922102/1

Therefore the LCM of Fractions 14/391,358/51,767/400 is 1922102

Greatest Common Factor of 391,51,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,51,400 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 391,51,400 . The biggest common factor number is the GCF number.
So the greatest common factor 391,51,400 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 14/391, 358/51, 767/400

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 14/391, 358/51, 767/400?

Answer: LCM of Numerators as per given numbers 14/391, 358/51, 767/400 is

LCM of Numerators i.e. for 14,358,767 is 1922102

GCF of denominators i.e. for 391,51,400 is 1.

Thus, LCM of Fractions is 1922102.Finally, LCM of Fractions for 14/391, 358/51, 767/400 is 1922102.