Least Common Multiple of 356/88, 496/1756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 356/88, 496/1756 quickly i.e. 11036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/88, 496/1756 is 11036.

LCM(356/88, 496/1756) = 11036

LCM of 356/88, 496/1756

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 356/88,496/1756

Given numbers are 356/88,496/1756

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 356,496

Least Common Multiple of Numerators i.e. LCM of 356,496 is 44144.

GCF of Denominators means GCF of 88,1756 as per the given fractions.

GCF of 88,1756 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,496

LCM of Fractions 356/88,496/1756 is 11036

2 356, 496
2 178, 248
89, 124

∴ So the LCM of the given numbers is 2 x 2 x 89 x 124 = 44144

Least Common Multiple of 356,496 with GCF Formula

Least Common Multiple of 356,496 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 356,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,496) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(356,496) x common factors =4 x 1 = 4

LCM(356,496) = ( 356 × 496 ) / 4

LCM(356,496) = 176576 / 4

LCM(356,496) = 44144


Lets's calculate GCF of 88,1756

2 88, 1756
2 44, 878
22, 439

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44144/4

Therefore the LCM of Fractions 356/88,496/1756 is 11036

Greatest Common Factor of 88,1756 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,1756 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 1756

List of positive integer factors of 1756 that divides 1756 without a remainder.

1,2,4,439,878,1756

Greatest Common Factor

We found the factors 88,1756 . The biggest common factor number is the GCF number.
So the greatest common factor 88,1756 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 356/88, 496/1756

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 356/88, 496/1756?

Answer: LCM of Numerators as per given numbers 356/88, 496/1756 is

LCM of Numerators i.e. for 356,496 is 44144

GCF of denominators i.e. for 88,1756 is 4.

Thus, LCM of Fractions is 11036.Finally, LCM of Fractions for 356/88, 496/1756 is 11036.