Least Common Multiple of 892/88, 135/87, 989/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 892/88, 135/87, 989/648 quickly i.e. 119095380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/88, 135/87, 989/648 is 119095380.

LCM(892/88, 135/87, 989/648) = 119095380

LCM of 892/88, 135/87, 989/648

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 892/88,135/87,989/648

Given numbers are 892/88,135/87,989/648

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 892,135,989

Least Common Multiple of Numerators i.e. LCM of 892,135,989 is 119095380.

GCF of Denominators means GCF of 88,87,648 as per the given fractions.

GCF of 88,87,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,135,989

LCM of Fractions 892/88,135/87,989/648 is 119095380

Given numbers has no common factors except 1. So, there LCM is their product i.e 119095380

Least Common Multiple of 892,135,989 with GCF Formula

Least Common Multiple of 892,135,989 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 892,135,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,135,989) = 1

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

GCF(892,135,989) x common factors =1 x 1 = 1

LCM(892,135,989) = ( 892 × 135 × 989 ) / 1

LCM(892,135,989) = 119095380 / 1

LCM(892,135,989) = 119095380


Lets's calculate GCF of 88,87,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119095380/1

Therefore the LCM of Fractions 892/88,135/87,989/648 is 119095380

Greatest Common Factor of 88,87,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,87,648 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 88,87,648 . The biggest common factor number is the GCF number.
So the greatest common factor 88,87,648 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 892/88, 135/87, 989/648

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 892/88, 135/87, 989/648?

Answer: LCM of Numerators as per given numbers 892/88, 135/87, 989/648 is

LCM of Numerators i.e. for 892,135,989 is 119095380

GCF of denominators i.e. for 88,87,648 is 1.

Thus, LCM of Fractions is 119095380.Finally, LCM of Fractions for 892/88, 135/87, 989/648 is 119095380.