Least Common Multiple of 988/66, 612/3740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 988/66, 612/3740 quickly i.e. 151164/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/66, 612/3740 is 151164/22.

LCM(988/66, 612/3740) = 151164/22

LCM of 988/66, 612/3740

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 988/66,612/3740

Given numbers are 988/66,612/3740

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 988,612

Least Common Multiple of Numerators i.e. LCM of 988,612 is 151164.

GCF of Denominators means GCF of 66,3740 as per the given fractions.

GCF of 66,3740 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,612

LCM of Fractions 988/66,612/3740 is 151164/22

2 988, 612
2 494, 306
247, 153

∴ So the LCM of the given numbers is 2 x 2 x 247 x 153 = 151164

Least Common Multiple of 988,612 with GCF Formula

Least Common Multiple of 988,612 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 988,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,612) = 4

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

GCF(988,612) x common factors =4 x 1 = 4

LCM(988,612) = ( 988 × 612 ) / 4

LCM(988,612) = 604656 / 4

LCM(988,612) = 151164


Lets's calculate GCF of 66,3740

2 66, 3740
11 33, 1870
3, 170

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151164/22

Therefore the LCM of Fractions 988/66,612/3740 is 151164/22

Greatest Common Factor of 66,3740 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,3740 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 3740

List of positive integer factors of 3740 that divides 3740 without a remainder.

1,2,4,5,10,11,17,20,22,34,44,55,68,85,110,170,187,220,340,374,748,935,1870,3740

Greatest Common Factor

We found the factors 66,3740 . The biggest common factor number is the GCF number.
So the greatest common factor 66,3740 is 22.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 988/66, 612/3740

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 988/66, 612/3740?

Answer: LCM of Numerators as per given numbers 988/66, 612/3740 is

LCM of Numerators i.e. for 988,612 is 151164

GCF of denominators i.e. for 66,3740 is 22.

Thus, LCM of Fractions is 151164/22.Finally, LCM of Fractions for 988/66, 612/3740 is 151164/22.