Least Common Multiple of 45/926, 21/552, 969/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/926, 21/552, 969/507 quickly i.e. 101745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/926, 21/552, 969/507 is 101745.

LCM(45/926, 21/552, 969/507) = 101745

LCM of 45/926, 21/552, 969/507

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 45/926,21/552,969/507

Given numbers are 45/926,21/552,969/507

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 45,21,969

Least Common Multiple of Numerators i.e. LCM of 45,21,969 is 101745.

GCF of Denominators means GCF of 926,552,507 as per the given fractions.

GCF of 926,552,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,21,969

LCM of Fractions 45/926,21/552,969/507 is 101745

3 45, 21, 969
15, 7, 323

∴ So the LCM of the given numbers is 3 x 15 x 7 x 323 = 101745

Least Common Multiple of 45,21,969 with GCF Formula

Least Common Multiple of 45,21,969 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 45,21,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,21,969) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(45,21,969) x common factors =3 x 3 = 9

LCM(45,21,969) = ( 45 × 21 × 969 ) / 9

LCM(45,21,969) = 915705 / 9

LCM(45,21,969) = 101745


Lets's calculate GCF of 926,552,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101745/1

Therefore the LCM of Fractions 45/926,21/552,969/507 is 101745

Greatest Common Factor of 926,552,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,552,507 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 926,552,507 . The biggest common factor number is the GCF number.
So the greatest common factor 926,552,507 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 45/926, 21/552, 969/507

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 45/926, 21/552, 969/507?

Answer: LCM of Numerators as per given numbers 45/926, 21/552, 969/507 is

LCM of Numerators i.e. for 45,21,969 is 101745

GCF of denominators i.e. for 926,552,507 is 1.

Thus, LCM of Fractions is 101745.Finally, LCM of Fractions for 45/926, 21/552, 969/507 is 101745.