Least Common Multiple of 29/160, 76/562, 952/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/160, 76/562, 952/627 quickly i.e. 524552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/160, 76/562, 952/627 is 524552.

LCM(29/160, 76/562, 952/627) = 524552

LCM of 29/160, 76/562, 952/627

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 29/160,76/562,952/627

Given numbers are 29/160,76/562,952/627

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 29,76,952

Least Common Multiple of Numerators i.e. LCM of 29,76,952 is 524552.

GCF of Denominators means GCF of 160,562,627 as per the given fractions.

GCF of 160,562,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,76,952

LCM of Fractions 29/160,76/562,952/627 is 524552

2 29, 76, 952
2 29, 38, 476
29, 19, 238

∴ So the LCM of the given numbers is 2 x 2 x 29 x 19 x 238 = 524552

Least Common Multiple of 29,76,952 with GCF Formula

Least Common Multiple of 29,76,952 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 29,76,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,76,952) = 1

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

GCF(29,76,952) x common factors =1 x 4 = 4

LCM(29,76,952) = ( 29 × 76 × 952 ) / 4

LCM(29,76,952) = 2098208 / 4

LCM(29,76,952) = 524552


Lets's calculate GCF of 160,562,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524552/1

Therefore the LCM of Fractions 29/160,76/562,952/627 is 524552

Greatest Common Factor of 160,562,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,562,627 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 160,562,627 . The biggest common factor number is the GCF number.
So the greatest common factor 160,562,627 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/160, 76/562, 952/627

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 29/160, 76/562, 952/627?

Answer: LCM of Numerators as per given numbers 29/160, 76/562, 952/627 is

LCM of Numerators i.e. for 29,76,952 is 524552

GCF of denominators i.e. for 160,562,627 is 1.

Thus, LCM of Fractions is 524552.Finally, LCM of Fractions for 29/160, 76/562, 952/627 is 524552.