Least Common Multiple of 145/772, 986/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 145/772, 986/804 quickly i.e. 4930/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 145/772, 986/804 is 4930/4.

LCM(145/772, 986/804) = 4930/4

LCM of 145/772, 986/804

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 145/772,986/804

Given numbers are 145/772,986/804

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 145,986

Least Common Multiple of Numerators i.e. LCM of 145,986 is 4930.

GCF of Denominators means GCF of 772,804 as per the given fractions.

GCF of 772,804 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 145,986

LCM of Fractions 145/772,986/804 is 4930/4

29 145, 986
5, 34

∴ So the LCM of the given numbers is 29 x 5 x 34 = 4930

Least Common Multiple of 145,986 with GCF Formula

Least Common Multiple of 145,986 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 145,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,986) = 29

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

GCF(145,986) x common factors =29 x 1 = 29

LCM(145,986) = ( 145 × 986 ) / 29

LCM(145,986) = 142970 / 29

LCM(145,986) = 4930


Lets's calculate GCF of 772,804

2 772, 804
2 386, 402
193, 201

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4930/4

Therefore the LCM of Fractions 145/772,986/804 is 4930/4

Greatest Common Factor of 772,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,804 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 772,804 . The biggest common factor number is the GCF number.
So the greatest common factor 772,804 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 145/772, 986/804

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 145/772, 986/804?

Answer: LCM of Numerators as per given numbers 145/772, 986/804 is

LCM of Numerators i.e. for 145,986 is 4930

GCF of denominators i.e. for 772,804 is 4.

Thus, LCM of Fractions is 4930/4.Finally, LCM of Fractions for 145/772, 986/804 is 4930/4.