Least Common Multiple of 50/676, 428/310, 553/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/676, 428/310, 553/469 quickly i.e. 5917100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/676, 428/310, 553/469 is 5917100.

LCM(50/676, 428/310, 553/469) = 5917100

LCM of 50/676, 428/310, 553/469

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 50/676,428/310,553/469

Given numbers are 50/676,428/310,553/469

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 50,428,553

Least Common Multiple of Numerators i.e. LCM of 50,428,553 is 5917100.

GCF of Denominators means GCF of 676,310,469 as per the given fractions.

GCF of 676,310,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,428,553

LCM of Fractions 50/676,428/310,553/469 is 5917100

2 50, 428, 553
25, 214, 553

∴ So the LCM of the given numbers is 2 x 25 x 214 x 553 = 5917100

Least Common Multiple of 50,428,553 with GCF Formula

Least Common Multiple of 50,428,553 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 50,428,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,428,553) = 1

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

GCF(50,428,553) x common factors =1 x 2 = 2

LCM(50,428,553) = ( 50 × 428 × 553 ) / 2

LCM(50,428,553) = 11834200 / 2

LCM(50,428,553) = 5917100


Lets's calculate GCF of 676,310,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5917100/1

Therefore the LCM of Fractions 50/676,428/310,553/469 is 5917100

Greatest Common Factor of 676,310,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,310,469 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

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 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 676,310,469 . The biggest common factor number is the GCF number.
So the greatest common factor 676,310,469 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 50/676, 428/310, 553/469

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 50/676, 428/310, 553/469?

Answer: LCM of Numerators as per given numbers 50/676, 428/310, 553/469 is

LCM of Numerators i.e. for 50,428,553 is 5917100

GCF of denominators i.e. for 676,310,469 is 1.

Thus, LCM of Fractions is 5917100.Finally, LCM of Fractions for 50/676, 428/310, 553/469 is 5917100.