Least Common Multiple of 70/92, 56/12, 41/30, 90/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/92, 56/12, 41/30, 90/989 quickly i.e. 103320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/92, 56/12, 41/30, 90/989 is 103320.

LCM(70/92, 56/12, 41/30, 90/989) = 103320

LCM of 70/92, 56/12, 41/30, 90/989

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 70/92,56/12,41/30,90/989

Given numbers are 70/92,56/12,41/30,90/989

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 70,56,41,90

Least Common Multiple of Numerators i.e. LCM of 70,56,41,90 is 103320.

GCF of Denominators means GCF of 92,12,30,989 as per the given fractions.

GCF of 92,12,30,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,56,41,90

LCM of Fractions 70/92,56/12,41/30,90/989 is 103320

2 70, 56, 41, 90
5 35, 28, 41, 45
7 7, 28, 41, 9
1, 4, 41, 9

∴ So the LCM of the given numbers is 2 x 5 x 7 x 1 x 4 x 41 x 9 = 103320

Least Common Multiple of 70,56,41,90 with GCF Formula

Least Common Multiple of 70,56,41,90 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 70,56,41,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,56,41,90) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(70,56,41,90) x common factors =1 x 140 = 140

LCM(70,56,41,90) = ( 70 × 56 × 41 × 90 ) / 140

LCM(70,56,41,90) = 14464800 / 140

LCM(70,56,41,90) = 103320


Lets's calculate GCF of 92,12,30,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103320/1

Therefore the LCM of Fractions 70/92,56/12,41/30,90/989 is 103320

Greatest Common Factor of 92,12,30,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,12,30,989 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 12

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

1,2,3,4,6,12

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 92,12,30,989 . The biggest common factor number is the GCF number.
So the greatest common factor 92,12,30,989 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 70/92, 56/12, 41/30, 90/989

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 70/92, 56/12, 41/30, 90/989?

Answer: LCM of Numerators as per given numbers 70/92, 56/12, 41/30, 90/989 is

LCM of Numerators i.e. for 70,56,41,90 is 103320

GCF of denominators i.e. for 92,12,30,989 is 1.

Thus, LCM of Fractions is 103320.Finally, LCM of Fractions for 70/92, 56/12, 41/30, 90/989 is 103320.