Least Common Multiple of 50/62, 644/16, 854/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/62, 644/16, 854/914 quickly i.e. 491050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/62, 644/16, 854/914 is 491050.

LCM(50/62, 644/16, 854/914) = 491050

LCM of 50/62, 644/16, 854/914

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 50/62,644/16,854/914

Given numbers are 50/62,644/16,854/914

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 50,644,854

Least Common Multiple of Numerators i.e. LCM of 50,644,854 is 982100.

GCF of Denominators means GCF of 62,16,914 as per the given fractions.

GCF of 62,16,914 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,644,854

LCM of Fractions 50/62,644/16,854/914 is 491050

2 50, 644, 854
7 25, 322, 427
25, 46, 61

∴ So the LCM of the given numbers is 2 x 7 x 25 x 46 x 61 = 982100

Least Common Multiple of 50,644,854 with GCF Formula

Least Common Multiple of 50,644,854 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 50,644,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,644,854) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(50,644,854) x common factors =2 x 14 = 28

LCM(50,644,854) = ( 50 × 644 × 854 ) / 28

LCM(50,644,854) = 27498800 / 28

LCM(50,644,854) = 982100


Lets's calculate GCF of 62,16,914

2 62, 16, 914
31, 8, 457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 982100/2

Therefore the LCM of Fractions 50/62,644/16,854/914 is 491050

Greatest Common Factor of 62,16,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,16,914 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 62,16,914 . The biggest common factor number is the GCF number.
So the greatest common factor 62,16,914 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/62, 644/16, 854/914

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 50/62, 644/16, 854/914?

Answer: LCM of Numerators as per given numbers 50/62, 644/16, 854/914 is

LCM of Numerators i.e. for 50,644,854 is 982100

GCF of denominators i.e. for 62,16,914 is 2.

Thus, LCM of Fractions is 491050.Finally, LCM of Fractions for 50/62, 644/16, 854/914 is 491050.