Least Common Multiple of 902/48, 548/7858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 902/48, 548/7858 quickly i.e. 123574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/48, 548/7858 is 123574.

LCM(902/48, 548/7858) = 123574

LCM of 902/48, 548/7858

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 902/48,548/7858

Given numbers are 902/48,548/7858

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 902,548

Least Common Multiple of Numerators i.e. LCM of 902,548 is 247148.

GCF of Denominators means GCF of 48,7858 as per the given fractions.

GCF of 48,7858 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,548

LCM of Fractions 902/48,548/7858 is 123574

2 902, 548
451, 274

∴ So the LCM of the given numbers is 2 x 451 x 274 = 247148

Least Common Multiple of 902,548 with GCF Formula

Least Common Multiple of 902,548 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 902,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,548) = 2

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

GCF(902,548) x common factors =2 x 1 = 2

LCM(902,548) = ( 902 × 548 ) / 2

LCM(902,548) = 494296 / 2

LCM(902,548) = 247148


Lets's calculate GCF of 48,7858

2 48, 7858
24, 3929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247148/2

Therefore the LCM of Fractions 902/48,548/7858 is 123574

Greatest Common Factor of 48,7858 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,7858 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 7858

List of positive integer factors of 7858 that divides 7858 without a remainder.

1,2,3929,7858

Greatest Common Factor

We found the factors 48,7858 . The biggest common factor number is the GCF number.
So the greatest common factor 48,7858 is 2.


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 902/48, 548/7858

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 902/48, 548/7858?

Answer: LCM of Numerators as per given numbers 902/48, 548/7858 is

LCM of Numerators i.e. for 902,548 is 247148

GCF of denominators i.e. for 48,7858 is 2.

Thus, LCM of Fractions is 123574.Finally, LCM of Fractions for 902/48, 548/7858 is 123574.