Least Common Multiple of 613/38, 550/91, 126/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 613/38, 550/91, 126/85 quickly i.e. 21240450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/38, 550/91, 126/85 is 21240450.

LCM(613/38, 550/91, 126/85) = 21240450

LCM of 613/38, 550/91, 126/85

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 613/38,550/91,126/85

Given numbers are 613/38,550/91,126/85

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 613,550,126

Least Common Multiple of Numerators i.e. LCM of 613,550,126 is 21240450.

GCF of Denominators means GCF of 38,91,85 as per the given fractions.

GCF of 38,91,85 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,550,126

LCM of Fractions 613/38,550/91,126/85 is 21240450

2 613, 550, 126
613, 275, 63

∴ So the LCM of the given numbers is 2 x 613 x 275 x 63 = 21240450

Least Common Multiple of 613,550,126 with GCF Formula

Least Common Multiple of 613,550,126 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 613,550,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,550,126) = 1

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

GCF(613,550,126) x common factors =1 x 2 = 2

LCM(613,550,126) = ( 613 × 550 × 126 ) / 2

LCM(613,550,126) = 42480900 / 2

LCM(613,550,126) = 21240450


Lets's calculate GCF of 38,91,85

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21240450/1

Therefore the LCM of Fractions 613/38,550/91,126/85 is 21240450

Greatest Common Factor of 38,91,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,91,85 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors 38,91,85 . The biggest common factor number is the GCF number.
So the greatest common factor 38,91,85 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 613/38, 550/91, 126/85

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 613/38, 550/91, 126/85?

Answer: LCM of Numerators as per given numbers 613/38, 550/91, 126/85 is

LCM of Numerators i.e. for 613,550,126 is 21240450

GCF of denominators i.e. for 38,91,85 is 1.

Thus, LCM of Fractions is 21240450.Finally, LCM of Fractions for 613/38, 550/91, 126/85 is 21240450.