Least Common Multiple of 96/705, 532/880, 508/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/705, 532/880, 508/292 quickly i.e. 1621536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/705, 532/880, 508/292 is 1621536.

LCM(96/705, 532/880, 508/292) = 1621536

LCM of 96/705, 532/880, 508/292

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 96/705,532/880,508/292

Given numbers are 96/705,532/880,508/292

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 96,532,508

Least Common Multiple of Numerators i.e. LCM of 96,532,508 is 1621536.

GCF of Denominators means GCF of 705,880,292 as per the given fractions.

GCF of 705,880,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,532,508

LCM of Fractions 96/705,532/880,508/292 is 1621536

2 96, 532, 508
2 48, 266, 254
24, 133, 127

∴ So the LCM of the given numbers is 2 x 2 x 24 x 133 x 127 = 1621536

Least Common Multiple of 96,532,508 with GCF Formula

Least Common Multiple of 96,532,508 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 96,532,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,532,508) = 4

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

GCF(96,532,508) x common factors =4 x 4 = 16

LCM(96,532,508) = ( 96 × 532 × 508 ) / 16

LCM(96,532,508) = 25944576 / 16

LCM(96,532,508) = 1621536


Lets's calculate GCF of 705,880,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1621536/1

Therefore the LCM of Fractions 96/705,532/880,508/292 is 1621536

Greatest Common Factor of 705,880,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,880,292 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 705,880,292 . The biggest common factor number is the GCF number.
So the greatest common factor 705,880,292 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 96/705, 532/880, 508/292

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 96/705, 532/880, 508/292?

Answer: LCM of Numerators as per given numbers 96/705, 532/880, 508/292 is

LCM of Numerators i.e. for 96,532,508 is 1621536

GCF of denominators i.e. for 705,880,292 is 1.

Thus, LCM of Fractions is 1621536.Finally, LCM of Fractions for 96/705, 532/880, 508/292 is 1621536.