Least Common Multiple of 70/268, 692/166, 103/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/268, 692/166, 103/400 quickly i.e. 1247330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/268, 692/166, 103/400 is 1247330.

LCM(70/268, 692/166, 103/400) = 1247330

LCM of 70/268, 692/166, 103/400

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 70/268,692/166,103/400

Given numbers are 70/268,692/166,103/400

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 70,692,103

Least Common Multiple of Numerators i.e. LCM of 70,692,103 is 2494660.

GCF of Denominators means GCF of 268,166,400 as per the given fractions.

GCF of 268,166,400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,692,103

LCM of Fractions 70/268,692/166,103/400 is 1247330

2 70, 692, 103
35, 346, 103

∴ So the LCM of the given numbers is 2 x 35 x 346 x 103 = 2494660

Least Common Multiple of 70,692,103 with GCF Formula

Least Common Multiple of 70,692,103 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 70,692,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,692,103) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(70,692,103) x common factors =1 x 2 = 2

LCM(70,692,103) = ( 70 × 692 × 103 ) / 2

LCM(70,692,103) = 4989320 / 2

LCM(70,692,103) = 2494660


Lets's calculate GCF of 268,166,400

2 268, 166, 400
134, 83, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2494660/2

Therefore the LCM of Fractions 70/268,692/166,103/400 is 1247330

Greatest Common Factor of 268,166,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,166,400 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 268,166,400 . The biggest common factor number is the GCF number.
So the greatest common factor 268,166,400 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 70/268, 692/166, 103/400

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 70/268, 692/166, 103/400?

Answer: LCM of Numerators as per given numbers 70/268, 692/166, 103/400 is

LCM of Numerators i.e. for 70,692,103 is 2494660

GCF of denominators i.e. for 268,166,400 is 2.

Thus, LCM of Fractions is 1247330.Finally, LCM of Fractions for 70/268, 692/166, 103/400 is 1247330.