Least Common Multiple of 922/900, 6026/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 922/900, 6026/814 quickly i.e. 1388993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/900, 6026/814 is 1388993.

LCM(922/900, 6026/814) = 1388993

LCM of 922/900, 6026/814

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 922/900,6026/814

Given numbers are 922/900,6026/814

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 922,6026

Least Common Multiple of Numerators i.e. LCM of 922,6026 is 2777986.

GCF of Denominators means GCF of 900,814 as per the given fractions.

GCF of 900,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,6026

LCM of Fractions 922/900,6026/814 is 1388993

2 922, 6026
461, 3013

∴ So the LCM of the given numbers is 2 x 461 x 3013 = 2777986

Least Common Multiple of 922,6026 with GCF Formula

Least Common Multiple of 922,6026 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 922,6026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,6026) = 2

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

GCF(922,6026) x common factors =2 x 1 = 2

LCM(922,6026) = ( 922 × 6026 ) / 2

LCM(922,6026) = 5555972 / 2

LCM(922,6026) = 2777986


Lets's calculate GCF of 900,814

2 900, 814
450, 407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2777986/2

Therefore the LCM of Fractions 922/900,6026/814 is 1388993

Greatest Common Factor of 900,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,814 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 900,814 . The biggest common factor number is the GCF number.
So the greatest common factor 900,814 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 922/900, 6026/814

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 922/900, 6026/814?

Answer: LCM of Numerators as per given numbers 922/900, 6026/814 is

LCM of Numerators i.e. for 922,6026 is 2777986

GCF of denominators i.e. for 900,814 is 2.

Thus, LCM of Fractions is 1388993.Finally, LCM of Fractions for 922/900, 6026/814 is 1388993.