Least Common Multiple of 70/112, 554/735, 660/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/112, 554/735, 660/315 quickly i.e. 182820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/112, 554/735, 660/315 is 182820.

LCM(70/112, 554/735, 660/315) = 182820

LCM of 70/112, 554/735, 660/315

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 70/112,554/735,660/315

Given numbers are 70/112,554/735,660/315

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 70,554,660

Least Common Multiple of Numerators i.e. LCM of 70,554,660 is 1279740.

GCF of Denominators means GCF of 112,735,315 as per the given fractions.

GCF of 112,735,315 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,554,660

LCM of Fractions 70/112,554/735,660/315 is 182820

2 70, 554, 660
5 35, 277, 330
7, 277, 66

∴ So the LCM of the given numbers is 2 x 5 x 7 x 277 x 66 = 1279740

Least Common Multiple of 70,554,660 with GCF Formula

Least Common Multiple of 70,554,660 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 70,554,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,554,660) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(70,554,660) x common factors =2 x 10 = 20

LCM(70,554,660) = ( 70 × 554 × 660 ) / 20

LCM(70,554,660) = 25594800 / 20

LCM(70,554,660) = 1279740


Lets's calculate GCF of 112,735,315

7 112, 735, 315
16, 105, 45

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1279740/7

Therefore the LCM of Fractions 70/112,554/735,660/315 is 182820

Greatest Common Factor of 112,735,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 112,735,315 By Matching Biggest Common Factor Method

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 112,735,315 . The biggest common factor number is the GCF number.
So the greatest common factor 112,735,315 is 7.


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 70/112, 554/735, 660/315

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 70/112, 554/735, 660/315?

Answer: LCM of Numerators as per given numbers 70/112, 554/735, 660/315 is

LCM of Numerators i.e. for 70,554,660 is 1279740

GCF of denominators i.e. for 112,735,315 is 7.

Thus, LCM of Fractions is 182820.Finally, LCM of Fractions for 70/112, 554/735, 660/315 is 182820.