Least Common Multiple of 45/524, 668/549, 128/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/524, 668/549, 128/953 quickly i.e. 961920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/524, 668/549, 128/953 is 961920.

LCM(45/524, 668/549, 128/953) = 961920

LCM of 45/524, 668/549, 128/953

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 45/524,668/549,128/953

Given numbers are 45/524,668/549,128/953

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 45,668,128

Least Common Multiple of Numerators i.e. LCM of 45,668,128 is 961920.

GCF of Denominators means GCF of 524,549,953 as per the given fractions.

GCF of 524,549,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,668,128

LCM of Fractions 45/524,668/549,128/953 is 961920

2 45, 668, 128
2 45, 334, 64
45, 167, 32

∴ So the LCM of the given numbers is 2 x 2 x 45 x 167 x 32 = 961920

Least Common Multiple of 45,668,128 with GCF Formula

Least Common Multiple of 45,668,128 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 45,668,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,668,128) = 1

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

GCF(45,668,128) x common factors =1 x 4 = 4

LCM(45,668,128) = ( 45 × 668 × 128 ) / 4

LCM(45,668,128) = 3847680 / 4

LCM(45,668,128) = 961920


Lets's calculate GCF of 524,549,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 961920/1

Therefore the LCM of Fractions 45/524,668/549,128/953 is 961920

Greatest Common Factor of 524,549,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,549,953 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 524,549,953 . The biggest common factor number is the GCF number.
So the greatest common factor 524,549,953 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 45/524, 668/549, 128/953

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 45/524, 668/549, 128/953?

Answer: LCM of Numerators as per given numbers 45/524, 668/549, 128/953 is

LCM of Numerators i.e. for 45,668,128 is 961920

GCF of denominators i.e. for 524,549,953 is 1.

Thus, LCM of Fractions is 961920.Finally, LCM of Fractions for 45/524, 668/549, 128/953 is 961920.