Least Common Multiple of 39/880, 175/85, 764/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/880, 175/85, 764/998 quickly i.e. 5214300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/880, 175/85, 764/998 is 5214300.

LCM(39/880, 175/85, 764/998) = 5214300

LCM of 39/880, 175/85, 764/998

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 39/880,175/85,764/998

Given numbers are 39/880,175/85,764/998

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 39,175,764

Least Common Multiple of Numerators i.e. LCM of 39,175,764 is 5214300.

GCF of Denominators means GCF of 880,85,998 as per the given fractions.

GCF of 880,85,998 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,175,764

LCM of Fractions 39/880,175/85,764/998 is 5214300

Given numbers has no common factors except 1. So, there LCM is their product i.e 5214300

Least Common Multiple of 39,175,764 with GCF Formula

Least Common Multiple of 39,175,764 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 39,175,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,175,764) = 1

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

GCF(39,175,764) x common factors =1 x 1 = 1

LCM(39,175,764) = ( 39 × 175 × 764 ) / 1

LCM(39,175,764) = 5214300 / 1

LCM(39,175,764) = 5214300


Lets's calculate GCF of 880,85,998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5214300/1

Therefore the LCM of Fractions 39/880,175/85,764/998 is 5214300

Greatest Common Factor of 880,85,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,85,998 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 880,85,998 . The biggest common factor number is the GCF number.
So the greatest common factor 880,85,998 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/880, 175/85, 764/998

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 39/880, 175/85, 764/998?

Answer: LCM of Numerators as per given numbers 39/880, 175/85, 764/998 is

LCM of Numerators i.e. for 39,175,764 is 5214300

GCF of denominators i.e. for 880,85,998 is 1.

Thus, LCM of Fractions is 5214300.Finally, LCM of Fractions for 39/880, 175/85, 764/998 is 5214300.