Least Common Multiple of 154/552, 1692/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 154/552, 1692/700 quickly i.e. 32571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 154/552, 1692/700 is 32571.

LCM(154/552, 1692/700) = 32571

LCM of 154/552, 1692/700

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 154/552,1692/700

Given numbers are 154/552,1692/700

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 154,1692

Least Common Multiple of Numerators i.e. LCM of 154,1692 is 130284.

GCF of Denominators means GCF of 552,700 as per the given fractions.

GCF of 552,700 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 154,1692

LCM of Fractions 154/552,1692/700 is 32571

2 154, 1692
77, 846

∴ So the LCM of the given numbers is 2 x 77 x 846 = 130284

Least Common Multiple of 154,1692 with GCF Formula

Least Common Multiple of 154,1692 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 154,1692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,1692) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(154,1692) x common factors =2 x 1 = 2

LCM(154,1692) = ( 154 × 1692 ) / 2

LCM(154,1692) = 260568 / 2

LCM(154,1692) = 130284


Lets's calculate GCF of 552,700

2 552, 700
2 276, 350
138, 175

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130284/4

Therefore the LCM of Fractions 154/552,1692/700 is 32571

Greatest Common Factor of 552,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,700 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 552,700 . The biggest common factor number is the GCF number.
So the greatest common factor 552,700 is 4.


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 154/552, 1692/700

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 154/552, 1692/700?

Answer: LCM of Numerators as per given numbers 154/552, 1692/700 is

LCM of Numerators i.e. for 154,1692 is 130284

GCF of denominators i.e. for 552,700 is 4.

Thus, LCM of Fractions is 32571.Finally, LCM of Fractions for 154/552, 1692/700 is 32571.