Least Common Multiple of 42/953, 70/448, 293/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/953, 70/448, 293/696 quickly i.e. 61530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/953, 70/448, 293/696 is 61530.

LCM(42/953, 70/448, 293/696) = 61530

LCM of 42/953, 70/448, 293/696

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 42/953,70/448,293/696

Given numbers are 42/953,70/448,293/696

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 42,70,293

Least Common Multiple of Numerators i.e. LCM of 42,70,293 is 61530.

GCF of Denominators means GCF of 953,448,696 as per the given fractions.

GCF of 953,448,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,70,293

LCM of Fractions 42/953,70/448,293/696 is 61530

2 42, 70, 293
7 21, 35, 293
3, 5, 293

∴ So the LCM of the given numbers is 2 x 7 x 3 x 5 x 293 = 61530

Least Common Multiple of 42,70,293 with GCF Formula

Least Common Multiple of 42,70,293 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 42,70,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,70,293) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(42,70,293) x common factors =1 x 14 = 14

LCM(42,70,293) = ( 42 × 70 × 293 ) / 14

LCM(42,70,293) = 861420 / 14

LCM(42,70,293) = 61530


Lets's calculate GCF of 953,448,696

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61530/1

Therefore the LCM of Fractions 42/953,70/448,293/696 is 61530

Greatest Common Factor of 953,448,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,448,696 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

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

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 953,448,696 . The biggest common factor number is the GCF number.
So the greatest common factor 953,448,696 is 1.


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 42/953, 70/448, 293/696

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 42/953, 70/448, 293/696?

Answer: LCM of Numerators as per given numbers 42/953, 70/448, 293/696 is

LCM of Numerators i.e. for 42,70,293 is 61530

GCF of denominators i.e. for 953,448,696 is 1.

Thus, LCM of Fractions is 61530.Finally, LCM of Fractions for 42/953, 70/448, 293/696 is 61530.