Least Common Multiple of 49/896, 98/476, 121/652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/896, 98/476, 121/652 quickly i.e. 11858/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/896, 98/476, 121/652 is 11858/4.

LCM(49/896, 98/476, 121/652) = 11858/4

LCM of 49/896, 98/476, 121/652

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 49/896,98/476,121/652

Given numbers are 49/896,98/476,121/652

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 49,98,121

Least Common Multiple of Numerators i.e. LCM of 49,98,121 is 11858.

GCF of Denominators means GCF of 896,476,652 as per the given fractions.

GCF of 896,476,652 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,98,121

LCM of Fractions 49/896,98/476,121/652 is 11858/4

7 49, 98, 121
7 7, 14, 121
1, 2, 121

∴ So the LCM of the given numbers is 7 x 7 x 1 x 2 x 121 = 11858

Least Common Multiple of 49,98,121 with GCF Formula

Least Common Multiple of 49,98,121 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 49,98,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,98,121) = 1

common factors(in case of two or more numbers have common factors) = 49

GCF(49,98,121) x common factors =1 x 49 = 49

LCM(49,98,121) = ( 49 × 98 × 121 ) / 49

LCM(49,98,121) = 581042 / 49

LCM(49,98,121) = 11858


Lets's calculate GCF of 896,476,652

2 896, 476, 652
2 448, 238, 326
224, 119, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11858/4

Therefore the LCM of Fractions 49/896,98/476,121/652 is 11858/4

Greatest Common Factor of 896,476,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,476,652 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 896,476,652 . The biggest common factor number is the GCF number.
So the greatest common factor 896,476,652 is 4.


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 49/896, 98/476, 121/652

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 49/896, 98/476, 121/652?

Answer: LCM of Numerators as per given numbers 49/896, 98/476, 121/652 is

LCM of Numerators i.e. for 49,98,121 is 11858

GCF of denominators i.e. for 896,476,652 is 4.

Thus, LCM of Fractions is 11858/4.Finally, LCM of Fractions for 49/896, 98/476, 121/652 is 11858/4.