Least Common Multiple of 49/85, 37/276, 424/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/85, 37/276, 424/813 quickly i.e. 768712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/85, 37/276, 424/813 is 768712.

LCM(49/85, 37/276, 424/813) = 768712

LCM of 49/85, 37/276, 424/813

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 49/85,37/276,424/813

Given numbers are 49/85,37/276,424/813

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 49,37,424

Least Common Multiple of Numerators i.e. LCM of 49,37,424 is 768712.

GCF of Denominators means GCF of 85,276,813 as per the given fractions.

GCF of 85,276,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,37,424

LCM of Fractions 49/85,37/276,424/813 is 768712

Given numbers has no common factors except 1. So, there LCM is their product i.e 768712

Least Common Multiple of 49,37,424 with GCF Formula

Least Common Multiple of 49,37,424 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 49,37,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,37,424) = 1

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

GCF(49,37,424) x common factors =1 x 1 = 1

LCM(49,37,424) = ( 49 × 37 × 424 ) / 1

LCM(49,37,424) = 768712 / 1

LCM(49,37,424) = 768712


Lets's calculate GCF of 85,276,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 768712/1

Therefore the LCM of Fractions 49/85,37/276,424/813 is 768712

Greatest Common Factor of 85,276,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,276,813 By Matching Biggest Common Factor Method

Factors of 85

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

1,5,17,85

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 85,276,813 . The biggest common factor number is the GCF number.
So the greatest common factor 85,276,813 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 49/85, 37/276, 424/813

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 49/85, 37/276, 424/813?

Answer: LCM of Numerators as per given numbers 49/85, 37/276, 424/813 is

LCM of Numerators i.e. for 49,37,424 is 768712

GCF of denominators i.e. for 85,276,813 is 1.

Thus, LCM of Fractions is 768712.Finally, LCM of Fractions for 49/85, 37/276, 424/813 is 768712.