Least Common Multiple of 70/42, 661/67, 774/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/42, 661/67, 774/100 quickly i.e. 17906490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/42, 661/67, 774/100 is 17906490.

LCM(70/42, 661/67, 774/100) = 17906490

LCM of 70/42, 661/67, 774/100

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 70/42,661/67,774/100

Given numbers are 70/42,661/67,774/100

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 70,661,774

Least Common Multiple of Numerators i.e. LCM of 70,661,774 is 17906490.

GCF of Denominators means GCF of 42,67,100 as per the given fractions.

GCF of 42,67,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,661,774

LCM of Fractions 70/42,661/67,774/100 is 17906490

2 70, 661, 774
35, 661, 387

∴ So the LCM of the given numbers is 2 x 35 x 661 x 387 = 17906490

Least Common Multiple of 70,661,774 with GCF Formula

Least Common Multiple of 70,661,774 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 70,661,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,661,774) = 1

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

GCF(70,661,774) x common factors =1 x 2 = 2

LCM(70,661,774) = ( 70 × 661 × 774 ) / 2

LCM(70,661,774) = 35812980 / 2

LCM(70,661,774) = 17906490


Lets's calculate GCF of 42,67,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17906490/1

Therefore the LCM of Fractions 70/42,661/67,774/100 is 17906490

Greatest Common Factor of 42,67,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,67,100 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 42,67,100 . The biggest common factor number is the GCF number.
So the greatest common factor 42,67,100 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 70/42, 661/67, 774/100

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 70/42, 661/67, 774/100?

Answer: LCM of Numerators as per given numbers 70/42, 661/67, 774/100 is

LCM of Numerators i.e. for 70,661,774 is 17906490

GCF of denominators i.e. for 42,67,100 is 1.

Thus, LCM of Fractions is 17906490.Finally, LCM of Fractions for 70/42, 661/67, 774/100 is 17906490.