Least Common Multiple of 946/158, 1096/7648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/158, 1096/7648 quickly i.e. 259204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/158, 1096/7648 is 259204.

LCM(946/158, 1096/7648) = 259204

LCM of 946/158, 1096/7648

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 946/158,1096/7648

Given numbers are 946/158,1096/7648

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 946,1096

Least Common Multiple of Numerators i.e. LCM of 946,1096 is 518408.

GCF of Denominators means GCF of 158,7648 as per the given fractions.

GCF of 158,7648 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,1096

LCM of Fractions 946/158,1096/7648 is 259204

2 946, 1096
473, 548

∴ So the LCM of the given numbers is 2 x 473 x 548 = 518408

Least Common Multiple of 946,1096 with GCF Formula

Least Common Multiple of 946,1096 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 946,1096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,1096) = 2

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

GCF(946,1096) x common factors =2 x 1 = 2

LCM(946,1096) = ( 946 × 1096 ) / 2

LCM(946,1096) = 1036816 / 2

LCM(946,1096) = 518408


Lets's calculate GCF of 158,7648

2 158, 7648
79, 3824

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 518408/2

Therefore the LCM of Fractions 946/158,1096/7648 is 259204

Greatest Common Factor of 158,7648 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,7648 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 7648

List of positive integer factors of 7648 that divides 7648 without a remainder.

1,2,4,8,16,32,239,478,956,1912,3824,7648

Greatest Common Factor

We found the factors 158,7648 . The biggest common factor number is the GCF number.
So the greatest common factor 158,7648 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 946/158, 1096/7648

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 946/158, 1096/7648?

Answer: LCM of Numerators as per given numbers 946/158, 1096/7648 is

LCM of Numerators i.e. for 946,1096 is 518408

GCF of denominators i.e. for 158,7648 is 2.

Thus, LCM of Fractions is 259204.Finally, LCM of Fractions for 946/158, 1096/7648 is 259204.