Least Common Multiple of 55/67, 723/15, 479/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/67, 723/15, 479/777 quickly i.e. 19047435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/67, 723/15, 479/777 is 19047435.

LCM(55/67, 723/15, 479/777) = 19047435

LCM of 55/67, 723/15, 479/777

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 55/67,723/15,479/777

Given numbers are 55/67,723/15,479/777

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 55,723,479

Least Common Multiple of Numerators i.e. LCM of 55,723,479 is 19047435.

GCF of Denominators means GCF of 67,15,777 as per the given fractions.

GCF of 67,15,777 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,723,479

LCM of Fractions 55/67,723/15,479/777 is 19047435

Given numbers has no common factors except 1. So, there LCM is their product i.e 19047435

Least Common Multiple of 55,723,479 with GCF Formula

Least Common Multiple of 55,723,479 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 55,723,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,723,479) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(55,723,479) x common factors =1 x 1 = 1

LCM(55,723,479) = ( 55 × 723 × 479 ) / 1

LCM(55,723,479) = 19047435 / 1

LCM(55,723,479) = 19047435


Lets's calculate GCF of 67,15,777

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19047435/1

Therefore the LCM of Fractions 55/67,723/15,479/777 is 19047435

Greatest Common Factor of 67,15,777 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,15,777 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 67,15,777 . The biggest common factor number is the GCF number.
So the greatest common factor 67,15,777 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/67, 723/15, 479/777

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 55/67, 723/15, 479/777?

Answer: LCM of Numerators as per given numbers 55/67, 723/15, 479/777 is

LCM of Numerators i.e. for 55,723,479 is 19047435

GCF of denominators i.e. for 67,15,777 is 1.

Thus, LCM of Fractions is 19047435.Finally, LCM of Fractions for 55/67, 723/15, 479/777 is 19047435.