Least Common Multiple of 50/13, 690/58, 534/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/13, 690/58, 534/633 quickly i.e. 307050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/13, 690/58, 534/633 is 307050.

LCM(50/13, 690/58, 534/633) = 307050

LCM of 50/13, 690/58, 534/633

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 50/13,690/58,534/633

Given numbers are 50/13,690/58,534/633

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 50,690,534

Least Common Multiple of Numerators i.e. LCM of 50,690,534 is 307050.

GCF of Denominators means GCF of 13,58,633 as per the given fractions.

GCF of 13,58,633 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,690,534

LCM of Fractions 50/13,690/58,534/633 is 307050

2 50, 690, 534
3 25, 345, 267
5 25, 115, 89
5, 23, 89

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 23 x 89 = 307050

Least Common Multiple of 50,690,534 with GCF Formula

Least Common Multiple of 50,690,534 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 50,690,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,690,534) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(50,690,534) x common factors =2 x 30 = 60

LCM(50,690,534) = ( 50 × 690 × 534 ) / 60

LCM(50,690,534) = 18423000 / 60

LCM(50,690,534) = 307050


Lets's calculate GCF of 13,58,633

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307050/1

Therefore the LCM of Fractions 50/13,690/58,534/633 is 307050

Greatest Common Factor of 13,58,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,58,633 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 13,58,633 . The biggest common factor number is the GCF number.
So the greatest common factor 13,58,633 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/13, 690/58, 534/633

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 50/13, 690/58, 534/633?

Answer: LCM of Numerators as per given numbers 50/13, 690/58, 534/633 is

LCM of Numerators i.e. for 50,690,534 is 307050

GCF of denominators i.e. for 13,58,633 is 1.

Thus, LCM of Fractions is 307050.Finally, LCM of Fractions for 50/13, 690/58, 534/633 is 307050.