Least Common Multiple of 35/70, 48/34, 49/10, 49/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/70, 48/34, 49/10, 49/707 quickly i.e. 11760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/70, 48/34, 49/10, 49/707 is 11760.

LCM(35/70, 48/34, 49/10, 49/707) = 11760

LCM of 35/70, 48/34, 49/10, 49/707

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 35/70,48/34,49/10,49/707

Given numbers are 35/70,48/34,49/10,49/707

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 35,48,49,49

Least Common Multiple of Numerators i.e. LCM of 35,48,49,49 is 11760.

GCF of Denominators means GCF of 70,34,10,707 as per the given fractions.

GCF of 70,34,10,707 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,48,49,49

LCM of Fractions 35/70,48/34,49/10,49/707 is 11760

7 35, 48, 49, 49
7 5, 48, 7, 7
5, 48, 1, 1

∴ So the LCM of the given numbers is 7 x 7 x 5 x 48 x 1 x 1 = 11760

Least Common Multiple of 35,48,49,49 with GCF Formula

Least Common Multiple of 35,48,49,49 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 35,48,49,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,48,49,49) = 1

common factors(in case of two or more numbers have common factors) = 343

GCF(35,48,49,49) x common factors =1 x 343 = 343

LCM(35,48,49,49) = ( 35 × 48 × 49 × 49 ) / 343

LCM(35,48,49,49) = 4033680 / 343

LCM(35,48,49,49) = 11760


Lets's calculate GCF of 70,34,10,707

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11760/1

Therefore the LCM of Fractions 35/70,48/34,49/10,49/707 is 11760

Greatest Common Factor of 70,34,10,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,34,10,707 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 70,34,10,707 . The biggest common factor number is the GCF number.
So the greatest common factor 70,34,10,707 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 35/70, 48/34, 49/10, 49/707

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 35/70, 48/34, 49/10, 49/707?

Answer: LCM of Numerators as per given numbers 35/70, 48/34, 49/10, 49/707 is

LCM of Numerators i.e. for 35,48,49,49 is 11760

GCF of denominators i.e. for 70,34,10,707 is 1.

Thus, LCM of Fractions is 11760.Finally, LCM of Fractions for 35/70, 48/34, 49/10, 49/707 is 11760.