Least Common Multiple of 550/35, 856/95, 386/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 550/35, 856/95, 386/111 quickly i.e. 45432200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 550/35, 856/95, 386/111 is 45432200.

LCM(550/35, 856/95, 386/111) = 45432200

LCM of 550/35, 856/95, 386/111

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 550/35,856/95,386/111

Given numbers are 550/35,856/95,386/111

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 550,856,386

Least Common Multiple of Numerators i.e. LCM of 550,856,386 is 45432200.

GCF of Denominators means GCF of 35,95,111 as per the given fractions.

GCF of 35,95,111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 550,856,386

LCM of Fractions 550/35,856/95,386/111 is 45432200

2 550, 856, 386
275, 428, 193

∴ So the LCM of the given numbers is 2 x 275 x 428 x 193 = 45432200

Least Common Multiple of 550,856,386 with GCF Formula

Least Common Multiple of 550,856,386 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 550,856,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,856,386) = 2

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

GCF(550,856,386) x common factors =2 x 2 = 4

LCM(550,856,386) = ( 550 × 856 × 386 ) / 4

LCM(550,856,386) = 181728800 / 4

LCM(550,856,386) = 45432200


Lets's calculate GCF of 35,95,111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45432200/1

Therefore the LCM of Fractions 550/35,856/95,386/111 is 45432200

Greatest Common Factor of 35,95,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,95,111 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 35,95,111 . The biggest common factor number is the GCF number.
So the greatest common factor 35,95,111 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 550/35, 856/95, 386/111

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 550/35, 856/95, 386/111?

Answer: LCM of Numerators as per given numbers 550/35, 856/95, 386/111 is

LCM of Numerators i.e. for 550,856,386 is 45432200

GCF of denominators i.e. for 35,95,111 is 1.

Thus, LCM of Fractions is 45432200.Finally, LCM of Fractions for 550/35, 856/95, 386/111 is 45432200.