Least Common Multiple of 44/977, 76/998, 590/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/977, 76/998, 590/722 quickly i.e. 246620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/977, 76/998, 590/722 is 246620.

LCM(44/977, 76/998, 590/722) = 246620

LCM of 44/977, 76/998, 590/722

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 44/977,76/998,590/722

Given numbers are 44/977,76/998,590/722

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 44,76,590

Least Common Multiple of Numerators i.e. LCM of 44,76,590 is 246620.

GCF of Denominators means GCF of 977,998,722 as per the given fractions.

GCF of 977,998,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,76,590

LCM of Fractions 44/977,76/998,590/722 is 246620

2 44, 76, 590
2 22, 38, 295
11, 19, 295

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 295 = 246620

Least Common Multiple of 44,76,590 with GCF Formula

Least Common Multiple of 44,76,590 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 44,76,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,76,590) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(44,76,590) x common factors =2 x 4 = 8

LCM(44,76,590) = ( 44 × 76 × 590 ) / 8

LCM(44,76,590) = 1972960 / 8

LCM(44,76,590) = 246620


Lets's calculate GCF of 977,998,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246620/1

Therefore the LCM of Fractions 44/977,76/998,590/722 is 246620

Greatest Common Factor of 977,998,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,998,722 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 977,998,722 . The biggest common factor number is the GCF number.
So the greatest common factor 977,998,722 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 44/977, 76/998, 590/722

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 44/977, 76/998, 590/722?

Answer: LCM of Numerators as per given numbers 44/977, 76/998, 590/722 is

LCM of Numerators i.e. for 44,76,590 is 246620

GCF of denominators i.e. for 977,998,722 is 1.

Thus, LCM of Fractions is 246620.Finally, LCM of Fractions for 44/977, 76/998, 590/722 is 246620.