Least Common Multiple of 454/77, 295/5896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 454/77, 295/5896 quickly i.e. 133930/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 454/77, 295/5896 is 133930/11.

LCM(454/77, 295/5896) = 133930/11

LCM of 454/77, 295/5896

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 454/77,295/5896

Given numbers are 454/77,295/5896

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 454,295

Least Common Multiple of Numerators i.e. LCM of 454,295 is 133930.

GCF of Denominators means GCF of 77,5896 as per the given fractions.

GCF of 77,5896 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 454,295

LCM of Fractions 454/77,295/5896 is 133930/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 133930

Least Common Multiple of 454,295 with GCF Formula

Least Common Multiple of 454,295 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 454,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,295) = 1

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

GCF(454,295) x common factors =1 x 1 = 1

LCM(454,295) = ( 454 × 295 ) / 1

LCM(454,295) = 133930 / 1

LCM(454,295) = 133930


Lets's calculate GCF of 77,5896

11 77, 5896
7, 536

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133930/11

Therefore the LCM of Fractions 454/77,295/5896 is 133930/11

Greatest Common Factor of 77,5896 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,5896 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 5896

List of positive integer factors of 5896 that divides 5896 without a remainder.

1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896

Greatest Common Factor

We found the factors 77,5896 . The biggest common factor number is the GCF number.
So the greatest common factor 77,5896 is 11.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 454/77, 295/5896

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 454/77, 295/5896?

Answer: LCM of Numerators as per given numbers 454/77, 295/5896 is

LCM of Numerators i.e. for 454,295 is 133930

GCF of denominators i.e. for 77,5896 is 11.

Thus, LCM of Fractions is 133930/11.Finally, LCM of Fractions for 454/77, 295/5896 is 133930/11.