Least Common Multiple of 524/810, 944/942, 890/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/810, 944/942, 890/962 quickly i.e. 27515240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/810, 944/942, 890/962 is 27515240.

LCM(524/810, 944/942, 890/962) = 27515240

LCM of 524/810, 944/942, 890/962

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 524/810,944/942,890/962

Given numbers are 524/810,944/942,890/962

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 524,944,890

Least Common Multiple of Numerators i.e. LCM of 524,944,890 is 55030480.

GCF of Denominators means GCF of 810,942,962 as per the given fractions.

GCF of 810,942,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,944,890

LCM of Fractions 524/810,944/942,890/962 is 27515240

2 524, 944, 890
2 262, 472, 445
131, 236, 445

∴ So the LCM of the given numbers is 2 x 2 x 131 x 236 x 445 = 55030480

Least Common Multiple of 524,944,890 with GCF Formula

Least Common Multiple of 524,944,890 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 524,944,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,944,890) = 2

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

GCF(524,944,890) x common factors =2 x 4 = 8

LCM(524,944,890) = ( 524 × 944 × 890 ) / 8

LCM(524,944,890) = 440243840 / 8

LCM(524,944,890) = 55030480


Lets's calculate GCF of 810,942,962

2 810, 942, 962
405, 471, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55030480/2

Therefore the LCM of Fractions 524/810,944/942,890/962 is 27515240

Greatest Common Factor of 810,942,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,942,962 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 810,942,962 . The biggest common factor number is the GCF number.
So the greatest common factor 810,942,962 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 524/810, 944/942, 890/962

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 524/810, 944/942, 890/962?

Answer: LCM of Numerators as per given numbers 524/810, 944/942, 890/962 is

LCM of Numerators i.e. for 524,944,890 is 55030480

GCF of denominators i.e. for 810,942,962 is 2.

Thus, LCM of Fractions is 27515240.Finally, LCM of Fractions for 524/810, 944/942, 890/962 is 27515240.