Least Common Multiple of 810/958, 760/922, 775/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/958, 760/922, 775/840 quickly i.e. 4770900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/958, 760/922, 775/840 is 4770900.

LCM(810/958, 760/922, 775/840) = 4770900

LCM of 810/958, 760/922, 775/840

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 810/958,760/922,775/840

Given numbers are 810/958,760/922,775/840

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 810,760,775

Least Common Multiple of Numerators i.e. LCM of 810,760,775 is 9541800.

GCF of Denominators means GCF of 958,922,840 as per the given fractions.

GCF of 958,922,840 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,760,775

LCM of Fractions 810/958,760/922,775/840 is 4770900

2 810, 760, 775
5 405, 380, 775
81, 76, 155

∴ So the LCM of the given numbers is 2 x 5 x 81 x 76 x 155 = 9541800

Least Common Multiple of 810,760,775 with GCF Formula

Least Common Multiple of 810,760,775 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 810,760,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,760,775) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(810,760,775) x common factors =5 x 10 = 50

LCM(810,760,775) = ( 810 × 760 × 775 ) / 50

LCM(810,760,775) = 477090000 / 50

LCM(810,760,775) = 9541800


Lets's calculate GCF of 958,922,840

2 958, 922, 840
479, 461, 420

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9541800/2

Therefore the LCM of Fractions 810/958,760/922,775/840 is 4770900

Greatest Common Factor of 958,922,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,922,840 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 958,922,840 . The biggest common factor number is the GCF number.
So the greatest common factor 958,922,840 is 2.


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 810/958, 760/922, 775/840

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 810/958, 760/922, 775/840?

Answer: LCM of Numerators as per given numbers 810/958, 760/922, 775/840 is

LCM of Numerators i.e. for 810,760,775 is 9541800

GCF of denominators i.e. for 958,922,840 is 2.

Thus, LCM of Fractions is 4770900.Finally, LCM of Fractions for 810/958, 760/922, 775/840 is 4770900.