Least Common Multiple of 73/977, 829/869, 380/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/977, 829/869, 380/490 quickly i.e. 22996460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/977, 829/869, 380/490 is 22996460.

LCM(73/977, 829/869, 380/490) = 22996460

LCM of 73/977, 829/869, 380/490

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 73/977,829/869,380/490

Given numbers are 73/977,829/869,380/490

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 73,829,380

Least Common Multiple of Numerators i.e. LCM of 73,829,380 is 22996460.

GCF of Denominators means GCF of 977,869,490 as per the given fractions.

GCF of 977,869,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,829,380

LCM of Fractions 73/977,829/869,380/490 is 22996460

Given numbers has no common factors except 1. So, there LCM is their product i.e 22996460

Least Common Multiple of 73,829,380 with GCF Formula

Least Common Multiple of 73,829,380 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 73,829,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,829,380) = 1

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

GCF(73,829,380) x common factors =1 x 1 = 1

LCM(73,829,380) = ( 73 × 829 × 380 ) / 1

LCM(73,829,380) = 22996460 / 1

LCM(73,829,380) = 22996460


Lets's calculate GCF of 977,869,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22996460/1

Therefore the LCM of Fractions 73/977,829/869,380/490 is 22996460

Greatest Common Factor of 977,869,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,869,490 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 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 977,869,490 . The biggest common factor number is the GCF number.
So the greatest common factor 977,869,490 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 73/977, 829/869, 380/490

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 73/977, 829/869, 380/490?

Answer: LCM of Numerators as per given numbers 73/977, 829/869, 380/490 is

LCM of Numerators i.e. for 73,829,380 is 22996460

GCF of denominators i.e. for 977,869,490 is 1.

Thus, LCM of Fractions is 22996460.Finally, LCM of Fractions for 73/977, 829/869, 380/490 is 22996460.