Least Common Multiple of 57/99, 509/88, 842/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 57/99, 509/88, 842/370 quickly i.e. 24428946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/99, 509/88, 842/370 is 24428946.

LCM(57/99, 509/88, 842/370) = 24428946

LCM of 57/99, 509/88, 842/370

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 57/99,509/88,842/370

Given numbers are 57/99,509/88,842/370

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 57,509,842

Least Common Multiple of Numerators i.e. LCM of 57,509,842 is 24428946.

GCF of Denominators means GCF of 99,88,370 as per the given fractions.

GCF of 99,88,370 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,509,842

LCM of Fractions 57/99,509/88,842/370 is 24428946

Given numbers has no common factors except 1. So, there LCM is their product i.e 24428946

Least Common Multiple of 57,509,842 with GCF Formula

Least Common Multiple of 57,509,842 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 57,509,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,509,842) = 1

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

GCF(57,509,842) x common factors =1 x 1 = 1

LCM(57,509,842) = ( 57 × 509 × 842 ) / 1

LCM(57,509,842) = 24428946 / 1

LCM(57,509,842) = 24428946


Lets's calculate GCF of 99,88,370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24428946/1

Therefore the LCM of Fractions 57/99,509/88,842/370 is 24428946

Greatest Common Factor of 99,88,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,88,370 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

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 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 99,88,370 . The biggest common factor number is the GCF number.
So the greatest common factor 99,88,370 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 57/99, 509/88, 842/370

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 57/99, 509/88, 842/370?

Answer: LCM of Numerators as per given numbers 57/99, 509/88, 842/370 is

LCM of Numerators i.e. for 57,509,842 is 24428946

GCF of denominators i.e. for 99,88,370 is 1.

Thus, LCM of Fractions is 24428946.Finally, LCM of Fractions for 57/99, 509/88, 842/370 is 24428946.