Least Common Multiple of 70/10, 51/12, 158/49

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/10, 51/12, 158/49 quickly i.e. 282030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/10, 51/12, 158/49 is 282030.

LCM(70/10, 51/12, 158/49) = 282030

LCM of 70/10, 51/12, 158/49

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 70/10,51/12,158/49

Given numbers are 70/10,51/12,158/49

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 70,51,158

Least Common Multiple of Numerators i.e. LCM of 70,51,158 is 282030.

GCF of Denominators means GCF of 10,12,49 as per the given fractions.

GCF of 10,12,49 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,51,158

LCM of Fractions 70/10,51/12,158/49 is 282030

2 70, 51, 158
35, 51, 79

∴ So the LCM of the given numbers is 2 x 35 x 51 x 79 = 282030

Least Common Multiple of 70,51,158 with GCF Formula

Least Common Multiple of 70,51,158 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 70,51,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,51,158) = 1

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

GCF(70,51,158) x common factors =1 x 2 = 2

LCM(70,51,158) = ( 70 × 51 × 158 ) / 2

LCM(70,51,158) = 564060 / 2

LCM(70,51,158) = 282030


Lets's calculate GCF of 10,12,49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282030/1

Therefore the LCM of Fractions 70/10,51/12,158/49 is 282030

Greatest Common Factor of 10,12,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,12,49 By Matching Biggest Common Factor Method

Factors of 10

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

1,2,5,10

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 10,12,49 . The biggest common factor number is the GCF number.
So the greatest common factor 10,12,49 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 70/10, 51/12, 158/49

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 70/10, 51/12, 158/49?

Answer: LCM of Numerators as per given numbers 70/10, 51/12, 158/49 is

LCM of Numerators i.e. for 70,51,158 is 282030

GCF of denominators i.e. for 10,12,49 is 1.

Thus, LCM of Fractions is 282030.Finally, LCM of Fractions for 70/10, 51/12, 158/49 is 282030.