Least Common Multiple of 77/85, 518/58, 593/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/85, 518/58, 593/653 quickly i.e. 3378914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/85, 518/58, 593/653 is 3378914.

LCM(77/85, 518/58, 593/653) = 3378914

LCM of 77/85, 518/58, 593/653

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 77/85,518/58,593/653

Given numbers are 77/85,518/58,593/653

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 77,518,593

Least Common Multiple of Numerators i.e. LCM of 77,518,593 is 3378914.

GCF of Denominators means GCF of 85,58,653 as per the given fractions.

GCF of 85,58,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,518,593

LCM of Fractions 77/85,518/58,593/653 is 3378914

7 77, 518, 593
11, 74, 593

∴ So the LCM of the given numbers is 7 x 11 x 74 x 593 = 3378914

Least Common Multiple of 77,518,593 with GCF Formula

Least Common Multiple of 77,518,593 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 77,518,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,518,593) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,518,593) x common factors =1 x 7 = 7

LCM(77,518,593) = ( 77 × 518 × 593 ) / 7

LCM(77,518,593) = 23652398 / 7

LCM(77,518,593) = 3378914


Lets's calculate GCF of 85,58,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3378914/1

Therefore the LCM of Fractions 77/85,518/58,593/653 is 3378914

Greatest Common Factor of 85,58,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,58,653 By Matching Biggest Common Factor Method

Factors of 85

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

1,5,17,85

Factors of 58

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

1,2,29,58

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 85,58,653 . The biggest common factor number is the GCF number.
So the greatest common factor 85,58,653 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/85, 518/58, 593/653

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 77/85, 518/58, 593/653?

Answer: LCM of Numerators as per given numbers 77/85, 518/58, 593/653 is

LCM of Numerators i.e. for 77,518,593 is 3378914

GCF of denominators i.e. for 85,58,653 is 1.

Thus, LCM of Fractions is 3378914.Finally, LCM of Fractions for 77/85, 518/58, 593/653 is 3378914.