Least Common Multiple of 50/698, 38/182, 222/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 50/698, 38/182, 222/495 quickly i.e. 105450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/698, 38/182, 222/495 is 105450.

LCM(50/698, 38/182, 222/495) = 105450

LCM of 50/698, 38/182, 222/495

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 50/698,38/182,222/495

Given numbers are 50/698,38/182,222/495

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 50,38,222

Least Common Multiple of Numerators i.e. LCM of 50,38,222 is 105450.

GCF of Denominators means GCF of 698,182,495 as per the given fractions.

GCF of 698,182,495 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,38,222

LCM of Fractions 50/698,38/182,222/495 is 105450

2 50, 38, 222
25, 19, 111

∴ So the LCM of the given numbers is 2 x 25 x 19 x 111 = 105450

Least Common Multiple of 50,38,222 with GCF Formula

Least Common Multiple of 50,38,222 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 50,38,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,38,222) = 2

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

GCF(50,38,222) x common factors =2 x 2 = 4

LCM(50,38,222) = ( 50 × 38 × 222 ) / 4

LCM(50,38,222) = 421800 / 4

LCM(50,38,222) = 105450


Lets's calculate GCF of 698,182,495

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105450/1

Therefore the LCM of Fractions 50/698,38/182,222/495 is 105450

Greatest Common Factor of 698,182,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,182,495 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 698,182,495 . The biggest common factor number is the GCF number.
So the greatest common factor 698,182,495 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 50/698, 38/182, 222/495

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 50/698, 38/182, 222/495?

Answer: LCM of Numerators as per given numbers 50/698, 38/182, 222/495 is

LCM of Numerators i.e. for 50,38,222 is 105450

GCF of denominators i.e. for 698,182,495 is 1.

Thus, LCM of Fractions is 105450.Finally, LCM of Fractions for 50/698, 38/182, 222/495 is 105450.