Least Common Multiple of 37/92, 85/25, 74/66, 19/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/92, 85/25, 74/66, 19/759 quickly i.e. 119510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/92, 85/25, 74/66, 19/759 is 119510.

LCM(37/92, 85/25, 74/66, 19/759) = 119510

LCM of 37/92, 85/25, 74/66, 19/759

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 37/92,85/25,74/66,19/759

Given numbers are 37/92,85/25,74/66,19/759

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 37,85,74,19

Least Common Multiple of Numerators i.e. LCM of 37,85,74,19 is 119510.

GCF of Denominators means GCF of 92,25,66,759 as per the given fractions.

GCF of 92,25,66,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,85,74,19

LCM of Fractions 37/92,85/25,74/66,19/759 is 119510

37 37, 85, 74, 19
1, 85, 2, 19

∴ So the LCM of the given numbers is 37 x 1 x 85 x 2 x 19 = 119510

Least Common Multiple of 37,85,74,19 with GCF Formula

Least Common Multiple of 37,85,74,19 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 37,85,74,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,85,74,19) = 1

common factors(in case of two or more numbers have common factors) = 37

GCF(37,85,74,19) x common factors =1 x 37 = 37

LCM(37,85,74,19) = ( 37 × 85 × 74 × 19 ) / 37

LCM(37,85,74,19) = 4421870 / 37

LCM(37,85,74,19) = 119510


Lets's calculate GCF of 92,25,66,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119510/1

Therefore the LCM of Fractions 37/92,85/25,74/66,19/759 is 119510

Greatest Common Factor of 92,25,66,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,25,66,759 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

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 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 92,25,66,759 . The biggest common factor number is the GCF number.
So the greatest common factor 92,25,66,759 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/92, 85/25, 74/66, 19/759

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 37/92, 85/25, 74/66, 19/759?

Answer: LCM of Numerators as per given numbers 37/92, 85/25, 74/66, 19/759 is

LCM of Numerators i.e. for 37,85,74,19 is 119510

GCF of denominators i.e. for 92,25,66,759 is 1.

Thus, LCM of Fractions is 119510.Finally, LCM of Fractions for 37/92, 85/25, 74/66, 19/759 is 119510.