Least Common Multiple of 3852/154, 1490/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3852/154, 1490/847 quickly i.e. 2869740/77 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3852/154, 1490/847 is 2869740/77.

LCM(3852/154, 1490/847) = 2869740/77

LCM of 3852/154, 1490/847

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 3852/154,1490/847

Given numbers are 3852/154,1490/847

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 3852,1490

Least Common Multiple of Numerators i.e. LCM of 3852,1490 is 2869740.

GCF of Denominators means GCF of 154,847 as per the given fractions.

GCF of 154,847 is 77 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3852,1490

LCM of Fractions 3852/154,1490/847 is 2869740/77

2 3852, 1490
1926, 745

∴ So the LCM of the given numbers is 2 x 1926 x 745 = 2869740

Least Common Multiple of 3852,1490 with GCF Formula

Least Common Multiple of 3852,1490 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 3852,1490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3852,1490) = 2

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

GCF(3852,1490) x common factors =2 x 1 = 2

LCM(3852,1490) = ( 3852 × 1490 ) / 2

LCM(3852,1490) = 5739480 / 2

LCM(3852,1490) = 2869740


Lets's calculate GCF of 154,847

7 154, 847
11 22, 121
2, 11

∴ So the GCF of the given numbers is 7 x 11 = 77

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2869740/77

Therefore the LCM of Fractions 3852/154,1490/847 is 2869740/77

Greatest Common Factor of 154,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,847 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 154,847 . The biggest common factor number is the GCF number.
So the greatest common factor 154,847 is 77.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3852/154, 1490/847

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 3852/154, 1490/847?

Answer: LCM of Numerators as per given numbers 3852/154, 1490/847 is

LCM of Numerators i.e. for 3852,1490 is 2869740

GCF of denominators i.e. for 154,847 is 77.

Thus, LCM of Fractions is 2869740/77.Finally, LCM of Fractions for 3852/154, 1490/847 is 2869740/77.