Least Common Multiple of 49/88, 49/51, 755/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 49/88, 49/51, 755/800 quickly i.e. 36995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/88, 49/51, 755/800 is 36995.

LCM(49/88, 49/51, 755/800) = 36995

LCM of 49/88, 49/51, 755/800

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 49/88,49/51,755/800

Given numbers are 49/88,49/51,755/800

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 49,49,755

Least Common Multiple of Numerators i.e. LCM of 49,49,755 is 36995.

GCF of Denominators means GCF of 88,51,800 as per the given fractions.

GCF of 88,51,800 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,49,755

LCM of Fractions 49/88,49/51,755/800 is 36995

7 49, 49, 755
7 7, 7, 755
1, 1, 755

∴ So the LCM of the given numbers is 7 x 7 x 1 x 1 x 755 = 36995

Least Common Multiple of 49,49,755 with GCF Formula

Least Common Multiple of 49,49,755 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 49,49,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,49,755) = 1

common factors(in case of two or more numbers have common factors) = 49

GCF(49,49,755) x common factors =1 x 49 = 49

LCM(49,49,755) = ( 49 × 49 × 755 ) / 49

LCM(49,49,755) = 1812755 / 49

LCM(49,49,755) = 36995


Lets's calculate GCF of 88,51,800

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36995/1

Therefore the LCM of Fractions 49/88,49/51,755/800 is 36995

Greatest Common Factor of 88,51,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,51,800 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 88,51,800 . The biggest common factor number is the GCF number.
So the greatest common factor 88,51,800 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 49/88, 49/51, 755/800

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 49/88, 49/51, 755/800?

Answer: LCM of Numerators as per given numbers 49/88, 49/51, 755/800 is

LCM of Numerators i.e. for 49,49,755 is 36995

GCF of denominators i.e. for 88,51,800 is 1.

Thus, LCM of Fractions is 36995.Finally, LCM of Fractions for 49/88, 49/51, 755/800 is 36995.