Least Common Multiple of 575/77, 998/70, 705/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 575/77, 998/70, 705/982 quickly i.e. 80912850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 575/77, 998/70, 705/982 is 80912850.

LCM(575/77, 998/70, 705/982) = 80912850

LCM of 575/77, 998/70, 705/982

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 575/77,998/70,705/982

Given numbers are 575/77,998/70,705/982

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 575,998,705

Least Common Multiple of Numerators i.e. LCM of 575,998,705 is 80912850.

GCF of Denominators means GCF of 77,70,982 as per the given fractions.

GCF of 77,70,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 575,998,705

LCM of Fractions 575/77,998/70,705/982 is 80912850

5 575, 998, 705
115, 998, 141

∴ So the LCM of the given numbers is 5 x 115 x 998 x 141 = 80912850

Least Common Multiple of 575,998,705 with GCF Formula

Least Common Multiple of 575,998,705 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 575,998,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,998,705) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(575,998,705) x common factors =1 x 5 = 5

LCM(575,998,705) = ( 575 × 998 × 705 ) / 5

LCM(575,998,705) = 404564250 / 5

LCM(575,998,705) = 80912850


Lets's calculate GCF of 77,70,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80912850/1

Therefore the LCM of Fractions 575/77,998/70,705/982 is 80912850

Greatest Common Factor of 77,70,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,70,982 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 77,70,982 . The biggest common factor number is the GCF number.
So the greatest common factor 77,70,982 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 575/77, 998/70, 705/982

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 575/77, 998/70, 705/982?

Answer: LCM of Numerators as per given numbers 575/77, 998/70, 705/982 is

LCM of Numerators i.e. for 575,998,705 is 80912850

GCF of denominators i.e. for 77,70,982 is 1.

Thus, LCM of Fractions is 80912850.Finally, LCM of Fractions for 575/77, 998/70, 705/982 is 80912850.