Least Common Multiple of 960/925, 886/252, 458/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 960/925, 886/252, 458/732 quickly i.e. 97389120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 960/925, 886/252, 458/732 is 97389120.

LCM(960/925, 886/252, 458/732) = 97389120

LCM of 960/925, 886/252, 458/732

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 960/925,886/252,458/732

Given numbers are 960/925,886/252,458/732

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 960,886,458

Least Common Multiple of Numerators i.e. LCM of 960,886,458 is 97389120.

GCF of Denominators means GCF of 925,252,732 as per the given fractions.

GCF of 925,252,732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 960,886,458

LCM of Fractions 960/925,886/252,458/732 is 97389120

2 960, 886, 458
480, 443, 229

∴ So the LCM of the given numbers is 2 x 480 x 443 x 229 = 97389120

Least Common Multiple of 960,886,458 with GCF Formula

Least Common Multiple of 960,886,458 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 960,886,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,886,458) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(960,886,458) x common factors =2 x 2 = 4

LCM(960,886,458) = ( 960 × 886 × 458 ) / 4

LCM(960,886,458) = 389556480 / 4

LCM(960,886,458) = 97389120


Lets's calculate GCF of 925,252,732

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97389120/1

Therefore the LCM of Fractions 960/925,886/252,458/732 is 97389120

Greatest Common Factor of 925,252,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,252,732 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 925,252,732 . The biggest common factor number is the GCF number.
So the greatest common factor 925,252,732 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 960/925, 886/252, 458/732

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 960/925, 886/252, 458/732?

Answer: LCM of Numerators as per given numbers 960/925, 886/252, 458/732 is

LCM of Numerators i.e. for 960,886,458 is 97389120

GCF of denominators i.e. for 925,252,732 is 1.

Thus, LCM of Fractions is 97389120.Finally, LCM of Fractions for 960/925, 886/252, 458/732 is 97389120.